Question 1

Determine whether the random variable described is discrete or continuous. The total value of a set of coins

Accepted Answer

A)  discrete 
B)  continuous 
A)  discrete 
B)  continuous

Question 2

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 25% of adult Australian sheep dogs weigh 65 pounds or more. A sample of 14 adult dogs is studied.
What is the standard deviation of the number of dogs who weigh 65 lb or more?

Accepted Answer

A)  3.5 
B)  14 
C)  1.6202 
D)  2.625 
A)  3.5 
B)  14 
C)  1.6202 
D)  2.625

Question 3

It is estimated that 40% of households own a riding lawn mower. A sample of 13 households is studied. What is the mean number of households who own a riding mower?

Accepted Answer

A)  3.12 
B)  13 
C)  1.7664 
D)  5.2 
A)  3.12 
B)  13 
C)  1.7664 
D)  5.2

Question 4

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 25% of adult Australian sheep dogs weigh 65 pounds or more. A sample of 11 adult dogs is studied.
What is the mean number of dogs who weigh 65 lb or more?

Accepted Answer

A)  11 
B)  2.0625 
C)  2.75 
D)  1.4361 
A)  11 
B)  2.0625 
C)  2.75 
D)  1.4361

Question 5

At an airport, 83% of recent flights have arrived on time. A sample of 12 flights is studied. What is the standard deviation of the number of flights that are on time?

Accepted Answer

A)  1.69 
B)  9.96 
C)  1.30 
D)  0.38 
A)  1.69 
B)  9.96 
C)  1.30 
D)  0.38

Question 6

A sample of 6,000 computer monitors are examined for stuck pixels. Of them, 4,074 have no stuck pixels, 1,153 have one stuck pixel, 462 have two stuck pixels, 226 have three stuck pixels, and 85 Have four stuck pixels. Let X be the number of stuck pixels of a monitor randomly sampled from
This population. Find the probability distribution of X.

Accepted Answer

A)  $\begin{array} { c | c | c | c | c | c } 
x & 0 & 1 & 2 & 3 & 4 \
\hline P ( x ) & 4.0740 & 1.1530 & 0.4620 & 0.2260 & 0.0850
\end{array}$ 
B)  $\begin{array} { c | c | c | c | c | c } 
x & 0 & 1 & 2 & 3 & 4 \
\hline P ( x ) & 0.6790 & 0.1922 & 0.0770 & 0.0377 & 0.0142
\end{array}$ 
C) $\begin{array} { c | c | c | c | c | c } 
x & 0 & 1 & 2 & 3 & 4 \
\hline P ( x ) & 0.0142 & 0.0377 & 0.0770 & 0.1922 & 0.6790
\end{array}$ 
D)  $\begin{array} { c | c | c | c | c | c } 
x & 0 & 1 & 2 & 3 & 4 \
\hline P ( x ) & 0.0850 & 0.2260 & 0.4620 & 1.1530 & 4.0740
\end{array}$ 
A)  $\begin{array} { c | c | c | c | c | c } 
x & 0 & 1 & 2 & 3 & 4 \
\hline P ( x ) & 4.0740 & 1.1530 & 0.4620 & 0.2260 & 0.0850
\end{array}$ 
B)  $\begin{array} { c | c | c | c | c | c } 
x & 0 & 1 & 2 & 3 & 4 \
\hline P ( x ) & 0.6790 & 0.1922 & 0.0770 & 0.0377 & 0.0142
\end{array}$ 
C) $\begin{array} { c | c | c | c | c | c } 
x & 0 & 1 & 2 & 3 & 4 \
\hline P ( x ) & 0.0142 & 0.0377 & 0.0770 & 0.1922 & 0.6790
\end{array}$ 
D)  $\begin{array} { c | c | c | c | c | c } 
x & 0 & 1 & 2 & 3 & 4 \
\hline P ( x ) & 0.0850 & 0.2260 & 0.4620 & 1.1530 & 4.0740
\end{array}$

Question 7

Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p.
N = 11, p = 0.7, P(Fewer than 4)

Accepted Answer

A)  0.9957 
B)  0.0006 
C)  0.0216 
D)  0.0043 
A)  0.9957 
B)  0.0006 
C)  0.0216 
D)  0.0043

Question 8

Determine the indicated probability for a Poisson random variable with the given values of $\lambda \text { and } t$ $\lambda = 0.6 , t = 7 , P ( \text { No more than } 3 )$

Accepted Answer

A)  0.3954 
B)  0.6196 
C)  0.3804 
D)  0.2102 
A)  0.3954 
B)  0.6196 
C)  0.3804 
D)  0.2102

Question 9

An insurance company sells a one-year term life insurance policy to an 80-year-old woman. The woman pays a premium of $1000. If she dies within one year, the company will pay $18,500 to her Beneficiary. According to the company's statistics department, the probability that an 80-year-old Woman will be alive one year later is 0.9581. Find the expected value of the insurance company's Profit.

Accepted Answer

A)  -$224.85 
B)  $224.85 
C)  -$182.95 
D)  $182.95 
A)  -$224.85 
B)  $224.85 
C)  -$182.95 
D)  $182.95

Question 10

A survey asked 870 people how many times per week they dine out at a restaurant. The results are presented in the following table.

$\begin{array} { c c } 
\hline \text { Number of Times } & \text { Frequency } \
\hline 0 & 124 \
1 & 249 \
2 & 245 \
3 & 121 \
4 & 80 \
5 & 20 \
6 & 28 \
7 & 3 \
\hline \text { Total } & 870
\end{array}$
 
Consider the 870 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)  0.849 
B)  0.151 
C)  0.059 
D)  0.611 
A)  0.849 
B)  0.151 
C)  0.059 
D)  0.611

Question 11

Determine whether the table represents a discrete probability distribution. 
$\begin{array} { c l } 
\hline x & P ( x ) \
\hline - 1 & 0.4 \
0 & 0.3 \
1 & 0.1 \
2 & 0.35 \
\hline
\end{array}$

Accepted Answer

A) True 
 B)False

Question 12

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

Accepted Answer

A)  discrete 
B)  continuous 
A)  discrete 
B)  continuous

Question 13

A student takes a true-false test that has 13 questions and guesses randomly at each answer. Let X be the number of questions answered correctly. Find P(Fewer than 4)

Accepted Answer

A)  0.8666 
B)  0.1334 
C)  0.0112 
D)  0.0461 
A)  0.8666 
B)  0.1334 
C)  0.0112 
D)  0.0461

Question 14

Last year, a manufacturer produced 1,950,000 DVD players. Of these, approximately 4% were defective. Assume that a simple random sample of n = 180 players is drawn. Use the Poisson Approximation to the binomial distribution to compute the probability that fewer than four of the 180 DVD players were defective.

Accepted Answer

A)  0.0464 
B)  0.0255 
C)  0.0719 
D)  0.0712 
A)  0.0464 
B)  0.0255 
C)  0.0719 
D)  0.0712

Question 15

The following table presents the probability distribution of the number of vacations X taken last year for a randomly chosen family. Compute the standard deviation $\sigma _ { x }$

$\begin{array} { c | c c c c c } 
x & 0 & 1 & 2 & 3 & 4 \
\hline P ( x ) & 0.11 & 0.69 & 0.13 & 0.05 & 0.02
\end{array}$

Accepted Answer

A)  1.18 
B)  1.29 
C)  0.59 
D)  0.77 
A)  1.18 
B)  1.29 
C)  0.59 
D)  0.77

Question 16

The number of customers in a line at a supermarket express checkout counter is a random variable with the following probability distribution.

$\begin{array} { c | c | c | c | c | c | c } 
\boldsymbol { x } & 0 & 1 & 2 & 3 & 4 & 5 \
\hline \boldsymbol { P } ( \boldsymbol { x } ) & 0.10 & 0.25 & 0.30 & 0.18 & 0.07 & 0.10
\end{array}$

Compute the mean $\mu _ { x ^ { * } }$

Accepted Answer

A)  0.36 
B)  2.17 
C)  0.17 
D)  0.43 
A)  0.36 
B)  2.17 
C)  0.17 
D)  0.43

Question 17

A survey asked 805 people how many times per week they dine out at a restaurant. The results are presented in the following table.

$\begin{array} { c c } 
\hline \text { Number of Times } & \text { Frequency } \
\hline 0 & 100 \
1 & 267 \
2 & 220 \
3 & 111 \
4 & 51 \
5 & 25 \
6 & 24 \
7 & 7 \
\hline \text { Total } & 805
\end{array}$
 
Consider the 805 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. Compute the standard deviation

Accepted Answer

A)  2.1 
B)  1.5 
C)  2.2 
D)  1.9 
A)  2.1 
B)  1.5 
C)  2.2 
D)  1.9

Question 18

Last year, a manufacturer produced 200,000 DVD players. Of these, approximately 2% were defective. Assume that a simple random sample of n = 130 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)  2.6 
B)  25.1 
C)  2 
D)  1.6 
A)  2.6 
B)  25.1 
C)  2 
D)  1.6

Question 19

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 12 adult dogs is studied.
What is the probability that exactly 3 of them weigh 65 lb or more?

Accepted Answer

A)  0.0125 
B)  0.1419 
C)  0.8581 
D)  0.9875 
A)  0.0125 
B)  0.1419 
C)  0.8581 
D)  0.9875

Question 20

Fill in the missing value so that the following table represents a probability distribution. 
$\begin{array} { c | c c c c } 
x & - 4 & - 3 & - 2 & - 1 \
\hline P ( x ) & 0.19 & 0.28 & ? & 0.38
\end{array}$

Accepted Answer

A)  0.25 
B)  0.15 
C)  0.09 
D)  0 
A)  0.25 
B)  0.15 
C)  0.09 
D)  0

Determine whether the random variable described is discrete or continuous. The total value of a set of coins

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 25% of adult Australian sheep dogs weigh 65 pounds or more. A sample of 14 adult dogs is studied. What is the standard deviation of the number of dogs who weigh 65 lb or more?

It is estimated that 40% of households own a riding lawn mower. A sample of 13 households is studied. What is the mean number of households who own a riding mower?

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 25% of adult Australian sheep dogs weigh 65 pounds or more. A sample of 11 adult dogs is studied. What is the mean number of dogs who weigh 65 lb or more?

At an airport, 83% of recent flights have arrived on time. A sample of 12 flights is studied. What is the standard deviation of the number of flights that are on time?

Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p. N = 11, p = 0.7, P(Fewer than 4)

Determine the indicated probability for a Poisson random variable with the given values of $\lambda \text { and } t$ $\lambda = 0.6 , t = 7 , P ( \text { No more than } 3 )$

Determine whether the table represents a discrete probability distribution. x P(x) -1 0.4 0 0.3 1 0.1 2 0.35

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

A student takes a true-false test that has 13 questions and guesses randomly at each answer. Let X be the number of questions answered correctly. Find P(Fewer than 4)

The following table presents the probability distribution of the number of vacations X taken last year for a randomly chosen family. Compute the standard deviation $\sigma _ { x }$ x 0 1 2 3 4 P(x) 0.11 0.69 0.13 0.05 0.02

The number of customers in a line at a supermarket express checkout counter is a random variable with the following probability distribution. 0 1 2 3 4 5 ( ) 0.10 0.25 0.30 0.18 0.07 0.10 Compute the mean $\mu _ { x ^ { * } }$

Last year, a manufacturer produced 200,000 DVD players. Of these, approximately 2% were defective. Assume that a simple random sample of n = 130 players is drawn. Use the Poisson Approximation to the binomial distribution to compute the mean number of DVD players that were Defective.

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 12 adult dogs is studied. What is the probability that exactly 3 of them weigh 65 lb or more?

Fill in the missing value so that the following table represents a probability distribution. x -4 -3 -2 -1 P(x) 0.19 0.28 ? 0.38

Basic Ideas

Graphical Summaries of Data

Numerical Summaries of Data

Summarizing Bivariate Data

Probability

The Normal Distribution

Confidence Intervals

Hypothesis Testing

Two-Sample Confidence Intervals

Two-Sample Hypothesis Tests

Tests With Qualitative Data

Inference in Linear Models

Analysis of Variance

Nonparametric Statistics

Filters

Exam 6: Discrete Probability Distributions

Determine whether the random variable described is discrete or continuous. The total value of a set of coins

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 25% of adult Australian sheep dogs weigh 65 pounds or more. A sample of 14 adult dogs is studied. What is the standard deviation of the number of dogs who weigh 65 lb or more?

It is estimated that 40% of households own a riding lawn mower. A sample of 13 households is studied. What is the mean number of households who own a riding mower?

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 25% of adult Australian sheep dogs weigh 65 pounds or more. A sample of 11 adult dogs is studied. What is the mean number of dogs who weigh 65 lb or more?

At an airport, 83% of recent flights have arrived on time. A sample of 12 flights is studied. What is the standard deviation of the number of flights that are on time?

Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p. N = 11, p = 0.7, P(Fewer than 4)

Determine the indicated probability for a Poisson random variable with the given values of λ and t\lambda \text { and } tλ and t λ=0.6,t=7,P( No more than 3)\lambda = 0.6 , t = 7 , P ( \text { No more than } 3 )λ=0.6,t=7,P( No more than 3)

Determine whether the table represents a discrete probability distribution. x P(x) -1 0.4 0 0.3 1 0.1 2 0.35

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

A student takes a true-false test that has 13 questions and guesses randomly at each answer. Let X be the number of questions answered correctly. Find P(Fewer than 4)

The following table presents the probability distribution of the number of vacations X taken last year for a randomly chosen family. Compute the standard deviation σx\sigma _ { x }σx​ x 0 1 2 3 4 P(x) 0.11 0.69 0.13 0.05 0.02

The number of customers in a line at a supermarket express checkout counter is a random variable with the following probability distribution. 0 1 2 3 4 5 ( ) 0.10 0.25 0.30 0.18 0.07 0.10 Compute the mean μx∗\mu _ { x ^ { * } }μx∗​

Last year, a manufacturer produced 200,000 DVD players. Of these, approximately 2% were defective. Assume that a simple random sample of n = 130 players is drawn. Use the Poisson Approximation to the binomial distribution to compute the mean number of DVD players that were Defective.

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 12 adult dogs is studied. What is the probability that exactly 3 of them weigh 65 lb or more?

Fill in the missing value so that the following table represents a probability distribution. x -4 -3 -2 -1 P(x) 0.19 0.28 ? 0.38

Basic Ideas

Graphical Summaries of Data

Numerical Summaries of Data

Summarizing Bivariate Data

Probability

The Normal Distribution

Confidence Intervals

Hypothesis Testing

Two-Sample Confidence Intervals

Two-Sample Hypothesis Tests

Tests With Qualitative Data

Inference in Linear Models

Analysis of Variance

Nonparametric Statistics

Filters

Determine the indicated probability for a Poisson random variable with the given values of $\lambda \text { and } t$ $\lambda = 0.6 , t = 7 , P ( \text { No more than } 3 )$

The following table presents the probability distribution of the number of vacations X taken last year for a randomly chosen family. Compute the standard deviation $\sigma _ { x }$ x 0 1 2 3 4 P(x) 0.11 0.69 0.13 0.05 0.02

The number of customers in a line at a supermarket express checkout counter is a random variable with the following probability distribution. 0 1 2 3 4 5 ( ) 0.10 0.25 0.30 0.18 0.07 0.10 Compute the mean $\mu _ { x ^ { * } }$