Question 1

The number of typographical errors in a document follows a Poisson distribution with a mean of 2 errors per page. Let X represent the number of errors on 3 pages. Find P(Greater than 1) .

Accepted Answer

A)  0.9826
B)  0.9380
C)  0.5940
D)  0.9975E) A) and C)
F) B) and C) A

Question 2

The number of typographical errors in a document follows a Poisson distribution with a mean of 2 errors per page. Let X represent the number of errors on 4 pages. Find P(3) .

Accepted Answer

A)    0.0573 
B)    0.1804 
C)    0.8196 
D)    0.0286 E) A) and B)
F) A) and C) D

Question 3

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 40% of adult Australian sheep dogs weigh 65 pounds or more. A sample of 13 adult dogs is studied. What is the probability that exactly 9 of them weigh 65 lb or more?

Accepted Answer

A)  0.1845
B)  0.9757
C)  0.8155
D)  0.0243E) A) and D)
F) A) and C)

Question 4

A survey asked 863 people how many times per week they dine out at a restaurant. The results are presented in the following table.

Consider the 863 people to be a population. Let X be the number of times per week a person dines out for a person sampled at random from this population. Find the probability that a person dines out 4 or more times per week.

Accepted Answer

A)  0.536
B)  0.130
C)  0.87
D)  0.060E) A) and C)
F) A) and D)

Question 5

The number of typographical errors in a document follows a Poisson distribution with a mean of 3 errors per page. Let  X  represent the number of errors on 4 pages. Find  μx\mu _ { x }μx​

Accepted Answer

A)   3
B)   12
C)   13
D)    3.5  E) B) and C)
F) None of the above

Question 6

Last year, a manufacturer produced 700,000 DVD players. Of these, approximately 9% were defective. Assume that a simple random sample of n = 160 players is drawn. Use the Poisson approximation to the binomial distribution to compute the probability that exactly twenty of the 160 DVD players were defective.

Accepted Answer

A)  0.0231
B)  0.0337
C)  0.1250
D)  0.0468E) B) and C)
F) None of the above

Question 7

Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p.
 n=10,p=0.4,P(8n = 10 , p = 0.4 , P ( 8n=10,p=0.4,P(8  or more  ) ) )

Accepted Answer

A)    0.00170.00170.0017 
B)    0.05480.05480.0548 
C)    0.01230.01230.0123 
D)    0.98770.98770.9877E) A) and B)
F) A) and C) C

Question 8

An environmental scientist obtains a sample of water from an irrigation canal that contains a certain type of bacteria at a concentration of 5 per milliliter. Find the mean number of bacteria in a 4-milliliter sample.

Accepted Answer

A)  2.2
B)  4.5
C)  20
D)  5E) A) and B)
F) None of the above

Question 9

Compute the mean of the random variable with the given discrete probability distribution. 
 xP(x) 00.2100.2250.4300.2\begin{array} { c l } \hline x & P ( x )  \\hline 0 & 0.2 \10 & 0.2 \25 & 0.4 \30 & 0.2 \\hline\end{array}x0102530​P(x) 0.20.20.40.2​​

Accepted Answer

A)  16.25
B)  11.2
C)  126.0
D)  18 E) A) and B)
F) A) and C)

Question 10

Determine the indicated probability for a Poisson random variable with the given values of  λ\lambdaλ  and  t .
 λ=0.3,t=7,P( Less than 3) \lambda = 0.3 , t = 7 , P ( 	ext { Less than } 3 ) λ=0.3,t=7,P( Less than 3)

Accepted Answer

A)    0.3504 
B)    0.6496 
C)    0.8386 
D)    0.7162  E) C) and D)
F) A) and C)

Question 11

Last year, a manufacturer produced 1,050,000 DVD players. Of these, approximately 4% were defective. Assume that a simple random sample of n = 210 players is drawn. Use the Poisson approximation to the binomial distribution to compute the mean number of DVD players that were defective

Accepted Answer

A)  4
B)  0.4
C)  8.4
D)  2.9E) A) and C)
F) A) and B)

Question 12

It is estimated that 25% of households own a riding lawn mower. A sample of 17 households is studied. What is the probability that exactly 9 of these own a riding lawn mower?

Accepted Answer

A)  0.9721
B)  0.9907
C)  0.0279
D)  0.0093E) B) and D)
F) A) and C)

Question 13

Determine whether the table represents a discrete probability distribution. 
$\begin{array} { c c } 
\hline x & P ( x ) \
\hline - 4 & 0.3 \
- 3 & 0.15 \
- 2 & 0.1 \
- 1 & 0.5 \
\hline
\end{array}$

Accepted Answer

A) True 
 B)False

Question 14

Determine whether the random variable described is discrete or continuous. The length in seconds of a randomly-selected TV commercial

Accepted Answer

A)  continuous
B)  discreteC) A) and B)
D) undefined

Question 15

Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p.
  n=12,p=0.6,P(n = 12 , p = 0.6 , P (n=12,p=0.6,P(  Fewer than  4) 4 ) 4)

Accepted Answer

A)    0.05730.05730.0573 
B)    0.01530.01530.0153 
C)    0.00280.00280.0028 
D)    0.98470.98470.9847E) B) and D)
F) All of the above

Question 16

Determine the indicated probability for a Poisson random variable with the given values of  λ\lambdaλ  and  t .
 λ=0.8,t=8,P(5) \lambda = 0.8 , t = 8 , P ( 5 ) λ=0.8,t=8,P(5)

Accepted Answer

A)    0.1468 
B)    0.1487 
C)    0.0005 
D)    0.9995  E) None of the above
F) A) and D)

Question 17

It is estimated that 45% of households own a riding lawn mower. A sample of 10households is studied. What is the standard deviation of the number of households whoown a riding lawn mower?

Accepted Answer

A)  1.5732
B)  4.5
C)  2.475
D)  10E) B) and D)
F) A) and D)

Question 18

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 45% of adult Australian sheep dogs weigh 65 pounds or more. A sample of 13 adult dogs is studied. What is the probability that no more than 3 of them weigh 65 lb or more?

Accepted Answer

A)  0.9731
B)  0.9071
C)  0.0929
D)  0.0269E) None of the above
F) A) and C)

Question 19

Determine the indicated probability for a Poisson random variable with the given values of  λ\lambdaλ  and  t .
 λ=0.8,t=9,P( More than 3) \lambda = 0.8 , t = 9 , P ( 	ext { More than } 3 ) λ=0.8,t=9,P( More than 3)

Accepted Answer

A)    0.0255 
B)    0.9281 
C)    0.0712 
D)    0.0719  E) B) and C)
F) A) and C)

Question 20

Determine whether the table represents a discrete probability distribution.
 $\begin{array} { c c } 
\hline x & P ( x ) \
\hline 3 & 0.3 \
4 & 0.05 \
5 & 0.45 \
6 & 0.2 \
\hline
\end{array}$

Accepted Answer

A) True 
 B)False

Exam 6: The Normal Distribution

The number of typographical errors in a document follows a Poisson distribution with a mean of 2 errors per page. Let X represent the number of errors on 3 pages. Find P(Greater than 1) .

Correct Answer
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A

The number of typographical errors in a document follows a Poisson distribution with a mean of 2 errors per page. Let X represent the number of errors on 4 pages. Find P(3) .

Correct Answer
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D

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 40% of adult Australian sheep dogs weigh 65 pounds or more. A sample of 13 adult dogs is studied. What is the probability that exactly 9 of them weigh 65 lb or more?

Correct Answer
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Correct Answer
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The number of typographical errors in a document follows a Poisson distribution with a mean of 3 errors per page. Let X represent the number of errors on 4 pages. Find $\mu _ { x }$

Correct Answer
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Correct Answer
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Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p. $n = 10 , p = 0.4 , P ( 8$ or more $)$

Correct Answer
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C

An environmental scientist obtains a sample of water from an irrigation canal that contains a certain type of bacteria at a concentration of 5 per milliliter. Find the mean number of bacteria in a 4-milliliter sample.

Correct Answer
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Compute the mean of the random variable with the given discrete probability distribution. $\begin{array} { c l } \hline x & P ( x ) \\\hline 0 & 0.2 \\10 & 0.2 \\25 & 0.4 \\30 & 0.2 \\\hline\end{array}$

Correct Answer
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Determine the indicated probability for a Poisson random variable with the given values of $\lambda$ and t . $\lambda = 0.3 , t = 7 , P ( \text { Less than } 3 )$

Correct Answer
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Last year, a manufacturer produced 1,050,000 DVD players. Of these, approximately 4% were defective. Assume that a simple random sample of n = 210 players is drawn. Use the Poisson approximation to the binomial distribution to compute the mean number of DVD players that were defective

Correct Answer
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It is estimated that 25% of households own a riding lawn mower. A sample of 17 households is studied. What is the probability that exactly 9 of these own a riding lawn mower?

Correct Answer
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Determine whether the table represents a discrete probability distribution. $\begin{array} { c c } \hline x & P ( x ) \\\hline - 4 & 0.3 \\- 3 & 0.15 \\- 2 & 0.1 \\- 1 & 0.5 \\\hline\end{array}$

Correct Answer
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Determine whether the random variable described is discrete or continuous. The length in seconds of a randomly-selected TV commercial

Correct Answer
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Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p. $n = 12 , p = 0.6 , P ($ Fewer than $4 )$

Correct Answer
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Determine the indicated probability for a Poisson random variable with the given values of $\lambda$ and t . $\lambda = 0.8 , t = 8 , P ( 5 )$

Correct Answer
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It is estimated that 45% of households own a riding lawn mower. A sample of 10households is studied. What is the standard deviation of the number of households whoown a riding lawn mower?

Correct Answer
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The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 45% of adult Australian sheep dogs weigh 65 pounds or more. A sample of 13 adult dogs is studied. What is the probability that no more than 3 of them weigh 65 lb or more?

Correct Answer
verified

Determine the indicated probability for a Poisson random variable with the given values of $\lambda$ and t . $\lambda = 0.8 , t = 9 , P ( \text { More than } 3 )$

Correct Answer
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Determine whether the table represents a discrete probability distribution. $\begin{array} { c c } \hline x & P ( x ) \\\hline 3 & 0.3 \\4 & 0.05 \\5 & 0.45 \\6 & 0.2 \\\hline\end{array}$

Correct Answer
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Exam 6: The Normal Distribution

The number of typographical errors in a document follows a Poisson distribution with a mean of 2 errors per page. Let X represent the number of errors on 3 pages. Find P(Greater than 1) .

Correct AnswerverifiedA

The number of typographical errors in a document follows a Poisson distribution with a mean of 2 errors per page. Let X represent the number of errors on 4 pages. Find P(3) .

Correct AnswerverifiedD

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 40% of adult Australian sheep dogs weigh 65 pounds or more. A sample of 13 adult dogs is studied. What is the probability that exactly 9 of them weigh 65 lb or more?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

The number of typographical errors in a document follows a Poisson distribution with a mean of 3 errors per page. Let X represent the number of errors on 4 pages. Find μx\mu _ { x }μx​

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p. n=10,p=0.4,P(8n = 10 , p = 0.4 , P ( 8n=10,p=0.4,P(8 or more ) ) )

Correct AnswerverifiedC

An environmental scientist obtains a sample of water from an irrigation canal that contains a certain type of bacteria at a concentration of 5 per milliliter. Find the mean number of bacteria in a 4-milliliter sample.

Correct AnswerverifiedShow Answer

Compute the mean of the random variable with the given discrete probability distribution. xP(x) 00.2100.2250.4300.2\begin{array} { c l } \hline x & P ( x ) \\\hline 0 & 0.2 \\10 & 0.2 \\25 & 0.4 \\30 & 0.2 \\\hline\end{array}x0102530​P(x) 0.20.20.40.2​​

Correct AnswerverifiedShow Answer

Determine the indicated probability for a Poisson random variable with the given values of λ\lambdaλ and t . λ=0.3,t=7,P( Less than 3) \lambda = 0.3 , t = 7 , P ( \text { Less than } 3 ) λ=0.3,t=7,P( Less than 3)

Correct AnswerverifiedShow Answer

Last year, a manufacturer produced 1,050,000 DVD players. Of these, approximately 4% were defective. Assume that a simple random sample of n = 210 players is drawn. Use the Poisson approximation to the binomial distribution to compute the mean number of DVD players that were defective

Correct AnswerverifiedShow Answer

It is estimated that 25% of households own a riding lawn mower. A sample of 17 households is studied. What is the probability that exactly 9 of these own a riding lawn mower?

Correct AnswerverifiedShow Answer

Determine whether the table represents a discrete probability distribution. xP(x)−40.3−30.15−20.1−10.5\begin{array} { c c } \hline x & P ( x ) \\\hline - 4 & 0.3 \\- 3 & 0.15 \\- 2 & 0.1 \\- 1 & 0.5 \\\hline\end{array}x−4−3−2−1​P(x)0.30.150.10.5​​

Correct AnswerverifiedShow Answer

Determine whether the random variable described is discrete or continuous. The length in seconds of a randomly-selected TV commercial

Correct AnswerverifiedShow Answer

Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p. n=12,p=0.6,P(n = 12 , p = 0.6 , P (n=12,p=0.6,P( Fewer than 4) 4 ) 4)

Correct AnswerverifiedShow Answer

Determine the indicated probability for a Poisson random variable with the given values of λ\lambdaλ and t . λ=0.8,t=8,P(5) \lambda = 0.8 , t = 8 , P ( 5 ) λ=0.8,t=8,P(5)

Correct AnswerverifiedShow Answer

It is estimated that 45% of households own a riding lawn mower. A sample of 10households is studied. What is the standard deviation of the number of households whoown a riding lawn mower?

Correct AnswerverifiedShow Answer

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 45% of adult Australian sheep dogs weigh 65 pounds or more. A sample of 13 adult dogs is studied. What is the probability that no more than 3 of them weigh 65 lb or more?

Correct AnswerverifiedShow Answer

Determine the indicated probability for a Poisson random variable with the given values of λ\lambdaλ and t . λ=0.8,t=9,P( More than 3) \lambda = 0.8 , t = 9 , P ( \text { More than } 3 ) λ=0.8,t=9,P( More than 3)

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Determine whether the table represents a discrete probability distribution. xP(x)30.340.0550.4560.2\begin{array} { c c } \hline x & P ( x ) \\\hline 3 & 0.3 \\4 & 0.05 \\5 & 0.45 \\6 & 0.2 \\\hline\end{array}x3456​P(x)0.30.050.450.2​​

Correct AnswerverifiedShow Answer

Correct Answer
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A

Correct Answer
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D

Correct Answer
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Correct Answer
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The number of typographical errors in a document follows a Poisson distribution with a mean of 3 errors per page. Let X represent the number of errors on 4 pages. Find $\mu _ { x }$

Correct Answer
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Correct Answer
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Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p. $n = 10 , p = 0.4 , P ( 8$ or more $)$

Correct Answer
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C

Correct Answer
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Compute the mean of the random variable with the given discrete probability distribution. $\begin{array} { c l } \hline x & P ( x ) \\\hline 0 & 0.2 \\10 & 0.2 \\25 & 0.4 \\30 & 0.2 \\\hline\end{array}$

Correct Answer
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Determine the indicated probability for a Poisson random variable with the given values of $\lambda$ and t . $\lambda = 0.3 , t = 7 , P ( \text { Less than } 3 )$

Correct Answer
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Correct Answer
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Correct Answer
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Determine whether the table represents a discrete probability distribution. $\begin{array} { c c } \hline x & P ( x ) \\\hline - 4 & 0.3 \\- 3 & 0.15 \\- 2 & 0.1 \\- 1 & 0.5 \\\hline\end{array}$

Correct Answer
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Correct Answer
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Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p. $n = 12 , p = 0.6 , P ($ Fewer than $4 )$

Correct Answer
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Determine the indicated probability for a Poisson random variable with the given values of $\lambda$ and t . $\lambda = 0.8 , t = 8 , P ( 5 )$

Correct Answer
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Correct Answer
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Correct Answer
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Determine the indicated probability for a Poisson random variable with the given values of $\lambda$ and t . $\lambda = 0.8 , t = 9 , P ( \text { More than } 3 )$

Correct Answer
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Determine whether the table represents a discrete probability distribution. $\begin{array} { c c } \hline x & P ( x ) \\\hline 3 & 0.3 \\4 & 0.05 \\5 & 0.45 \\6 & 0.2 \\\hline\end{array}$

Correct Answer
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