Question 1

Use the given values of n and p to find the minimum usual value µ - 2? and the maximum usual value µ + 2?
-$$n = 270 , p = \frac { 1 } { 4 }$$

Accepted Answer

A) Minimum: 60.38; maximum: 74.62 
B) Minimum: 57.44; maximum: 77.56 
C) Minimum: 53.27; maximum: 81.73 
D) Minimum: 81.73; maximum: 53.27 
A) Minimum: 60.38; maximum: 74.62 
B) Minimum: 57.44; maximum: 77.56 
C) Minimum: 53.27; maximum: 81.73 
D) Minimum: 81.73; maximum: 53.27 C

Question 2

Solve the problem.
-The probability of winning a certain lottery is 1/66,857. For people who play 618 times, find the mean number of wins.

Accepted Answer

A) 0.0016 
B) 108.2 
C) 0.000015 
D) 0.0092 
A) 0.0016 
B) 108.2 
C) 0.000015 
D) 0.0092 D

Question 3

Determine whether the given procedure results in a binomial distribution. If not, state the reason why.
-Spinning a roulette wheel 7 times, keeping track of the occurrences of a winning number of "16".

Accepted Answer

A) Not binomial: the trials are not independent. 
B) Not binomial: there are more than two outcomes for each trial. 
C) Not binomial: there are too many trials. 
D) Procedure results in a binomial distribution.. 
A) Not binomial: the trials are not independent. 
B) Not binomial: there are more than two outcomes for each trial. 
C) Not binomial: there are too many trials. 
D) Procedure results in a binomial distribution.. D

Question 4

Use the normal distribution to approximate the desired probability.
-The prizes that can be won in a sweepstakes are listed below together with the chances of winning each one: $5300 (1 chance in 8600); $2500 (1 chance in 5300); $700 (1 chance in 3500); $200 (1 chance in 2800). Find the expected value of the amount won for one entry if the cost of entering is 73 cents.

Accepted Answer

A) $0.67 
B) $0.63 
C) $1.29 
D) $200 
A) $0.67 
B) $0.63 
C) $1.29 
D) $200

Question 5

Solve the problem.
-A die is rolled 15 times and the number of twos that come up is tallied. If this experiment is repeated many times, find the standard deviation for the number of twos.

Accepted Answer

A) 1.394 
B) 1.449 
C) 1.94 
D) 1.443 
A) 1.394 
B) 1.449 
C) 1.94 
D) 1.443

Question 6

A company purchases shipments of machine components and uses this acceptance sampling plan: Randomly select and test 21 components and accept the whole batch if there are fewer than 3 defectives. If a particular shipment of thousands of components actually has a 6% rate of defects, what is the probability that this whole shipment will be accepted?

Accepted Answer

A) 0.8716 
B) 0.0943 
C) 0.2333 
D) 0.5989 
A) 0.8716 
B) 0.0943 
C) 0.2333 
D) 0.5989

Question 7

Determine if the outcome is unusual. Consider as unusual any result that differs from the mean by more than 2 standard deviations. That is, unusual values are either less than $\mu - 2 \sigma$ or greater than $\mu + 2 \sigma$.
-According to AccuData Media Research, 36% of televisions within the Chicago city limits are tuned to "Eyewitness News" at 5:00 pm on Sunday nights. At 5:00 pm on a given Sunday, 2500 such televisions are randomly selected and checked to determine what is being watched. Would it be unusual to find that 872 of the 2500 televisions are tuned to "Eyewitness News"?

Accepted Answer

A) No 
B) Yes 
A) No 
B) Yes

Question 8

Find the mean of the given probability distribution.
-The probabilities that a batch of 4 computers will contain 0, 1, 2, 3, and 4 defective computers are 0.5470, 0.3562, 0.0870, 0.0094, and 0.0004, respectively. Round answer to the nearest hundredth.

Accepted Answer

A) 2.00 
B) 0.56 
C) 1.11 
D) 0.46 
A) 2.00 
B) 0.56 
C) 1.11 
D) 0.46

Question 9

Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied.
-A police department reports that the probabilities that 0, 1, 2, 3, and 4 car thefts will be reported in a given day are 0.202, 0.323, 0.258, 0.138, and 0.055, respectively.

Accepted Answer

Not a probability di

Question 10

Solve the problem.
-A company manufactures batteries in batches of 23 and there is a 3% rate of defects. Find the variance for the number of defects per batch.

Accepted Answer

A) 0.69 
B) 0.665 
C) 0.64 
D) 0.669 
A) 0.69 
B) 0.665 
C) 0.64 
D) 0.669

Question 11

Solve the problem.
-Find the variance for the given probability distribution. $$\begin{array} { c | c } 
x & P ( x ) \
\hline 0 & 0.05 \
\hline 2 & 0.17 \
\hline 4 & 0.43 \
\hline 6 & 0.35
\end{array}$$

Accepted Answer

A) 1.56 
B) 2.44 
C) 2.85 
D) 1.69 
A) 1.56 
B) 2.44 
C) 2.85 
D) 1.69

Question 12

A mountain search and rescue team receives an average of µ = 0.75 calls per day. Find the probability that on a randomly selected day, they will receive fewer than two calls.

Accepted Answer

A) 0.8266 
B) 0.3543 
C) 0.1329 
D) 0.1734 
A) 0.8266 
B) 0.3543 
C) 0.1329 
D) 0.1734

Question 13

Answer the question.
-Rolling a single die 46 times, keeping track of the "fives" rolled.

Accepted Answer

A) Not binomial: there are more than two outcomes for each trial. 
B) Procedure results in a binomial distribution. 
C) Not binomial: there are too many trials. 
D) Not binomial: the trials are not independent. 
A) Not binomial: there are more than two outcomes for each trial. 
B) Procedure results in a binomial distribution. 
C) Not binomial: there are too many trials. 
D) Not binomial: the trials are not independent.

Question 14

Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied.
-$$\begin{array} { c | c } 
\mathrm { x } & \mathrm { P } ( \mathrm { x } ) \
\hline 0 & 0.23 \
1 & 0.24 \
2 & 0.30 \
3 & 0.14 \
4 & 0.09
\end{array}$$

Accepted Answer

Probabilit

Question 15

Find the mean, µ, for the binomial distribution which has the stated values of n and p. Round answer to the nearest tenth
-$$n = 33 ; p = .2$$

Accepted Answer

A)  $\mu = 6.6$ 
B)  $\boldsymbol { \mu } = 7.3$ 
C)  $\mu = 6.9$ 
D)  $\mu = 6.1$ 
A)  $\mu = 6.6$ 
B)  $\boldsymbol { \mu } = 7.3$ 
C)  $\mu = 6.9$ 
D)  $\mu = 6.1$

Question 16

A naturalist leads whale watch trips every morning in March. The number of whales seen has a Poisson distribution with a mean of 4.3. Find the probability that on a randomly selected trip, the number of whales seen is 3.

Accepted Answer

A) 0.1798 
B) 0.3057 
C) 0.3596 
D) 0.5394 
A) 0.1798 
B) 0.3057 
C) 0.3596 
D) 0.5394

Question 17

Solve the problem.
-The probability that a person has immunity to a particular disease is 0.8. Find the mean number who have immunity in samples of size 25.

Accepted Answer

A) 0.8 
B) 5.0 
C) 20.0 
D) 12.5 
A) 0.8 
B) 5.0 
C) 20.0 
D) 12.5

Question 18

Answer the question.
-Rolling a single "loaded" die 48 times, keeping track of the "fives" rolled.

Accepted Answer

A) Not binomial: there are more than two outcomes for each trial. 
B) Not binomial: there are too many trials. 
C) Procedure results in a binomial distribution. 
D) Not binomial: the trials are not independent. 
A) Not binomial: there are more than two outcomes for each trial. 
B) Not binomial: there are too many trials. 
C) Procedure results in a binomial distribution. 
D) Not binomial: the trials are not independent.

Question 19

Answer the question.
-Choosing 10 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green)one at a time with replacement, keeping track of the colors of the marbles chosen.

Accepted Answer

A) Procedure results in a binomial distribution. 
B) Not binomial: there are more than two outcomes for each trial. 
C) Not binomial: the trials are not independent. 
D) Not binomial: there are too many trials. 
A) Procedure results in a binomial distribution. 
B) Not binomial: there are more than two outcomes for each trial. 
C) Not binomial: the trials are not independent. 
D) Not binomial: there are too many trials.

Question 20

Identify the given random variable 
-The cost of a randomly selected orange

Accepted Answer

A) Discrete 
B) Continuous 
A) Discrete 
B) Continuous

Use the given values of n and p to find the minimum usual value µ - 2? and the maximum usual value µ + 2? - $n = 270 , p = \frac { 1 } { 4 }$

Solve the problem. -The probability of winning a certain lottery is 1/66,857. For people who play 618 times, find the mean number of wins.

Determine whether the given procedure results in a binomial distribution. If not, state the reason why. -Spinning a roulette wheel 7 times, keeping track of the occurrences of a winning number of "16".

Solve the problem. -A die is rolled 15 times and the number of twos that come up is tallied. If this experiment is repeated many times, find the standard deviation for the number of twos.

Find the mean of the given probability distribution. -The probabilities that a batch of 4 computers will contain 0, 1, 2, 3, and 4 defective computers are 0.5470, 0.3562, 0.0870, 0.0094, and 0.0004, respectively. Round answer to the nearest hundredth.

Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied. -A police department reports that the probabilities that 0, 1, 2, 3, and 4 car thefts will be reported in a given day are 0.202, 0.323, 0.258, 0.138, and 0.055, respectively.

Solve the problem. -A company manufactures batteries in batches of 23 and there is a 3% rate of defects. Find the variance for the number of defects per batch.

Solve the problem. -Find the variance for the given probability distribution. x P(x) 0 0.05 2 0.17 4 0.43 6 0.35

A mountain search and rescue team receives an average of µ = 0.75 calls per day. Find the probability that on a randomly selected day, they will receive fewer than two calls.

Answer the question. -Rolling a single die 46 times, keeping track of the "fives" rolled.

Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied. - () 0 0.23 1 0.24 2 0.30 3 0.14 4 0.09

Find the mean, µ, for the binomial distribution which has the stated values of n and p. Round answer to the nearest tenth - $n = 33 ; p = .2$

A naturalist leads whale watch trips every morning in March. The number of whales seen has a Poisson distribution with a mean of 4.3. Find the probability that on a randomly selected trip, the number of whales seen is 3.

Solve the problem. -The probability that a person has immunity to a particular disease is 0.8. Find the mean number who have immunity in samples of size 25.

Answer the question. -Rolling a single "loaded" die 48 times, keeping track of the "fives" rolled.

Answer the question. -Choosing 10 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green)one at a time with replacement, keeping track of the colors of the marbles chosen.

Identify the given random variable -The cost of a randomly selected orange

Introduction to Statistics

Summarizing and Graphing Data

Statistics for Describing, Exploring, and Comparing Data

Probability

Normal Probability Distributions

Estimates and Sample Sizes

Hypothesis Testing

Inferences From Two Samples

Correlation and Regression

Multinomial Experiments and Contingency Tables

Analysis of Variance

Nonparametric Statistics

Statistical Process Control

Filters

Exam 5: Probability Distributions

Use the given values of n and p to find the minimum usual value µ - 2? and the maximum usual value µ + 2? - n=270,p=14n = 270 , p = \frac { 1 } { 4 }n=270,p=41​

Solve the problem. -The probability of winning a certain lottery is 1/66,857. For people who play 618 times, find the mean number of wins.

Determine whether the given procedure results in a binomial distribution. If not, state the reason why. -Spinning a roulette wheel 7 times, keeping track of the occurrences of a winning number of "16".

Solve the problem. -A die is rolled 15 times and the number of twos that come up is tallied. If this experiment is repeated many times, find the standard deviation for the number of twos.

Find the mean of the given probability distribution. -The probabilities that a batch of 4 computers will contain 0, 1, 2, 3, and 4 defective computers are 0.5470, 0.3562, 0.0870, 0.0094, and 0.0004, respectively. Round answer to the nearest hundredth.

Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied. -A police department reports that the probabilities that 0, 1, 2, 3, and 4 car thefts will be reported in a given day are 0.202, 0.323, 0.258, 0.138, and 0.055, respectively.

Solve the problem. -A company manufactures batteries in batches of 23 and there is a 3% rate of defects. Find the variance for the number of defects per batch.

Solve the problem. -Find the variance for the given probability distribution. x P(x) 0 0.05 2 0.17 4 0.43 6 0.35

A mountain search and rescue team receives an average of µ = 0.75 calls per day. Find the probability that on a randomly selected day, they will receive fewer than two calls.

Answer the question. -Rolling a single die 46 times, keeping track of the "fives" rolled.

Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied. - () 0 0.23 1 0.24 2 0.30 3 0.14 4 0.09

Find the mean, µ, for the binomial distribution which has the stated values of n and p. Round answer to the nearest tenth - n=33;p=.2n = 33 ; p = .2n=33;p=.2

A naturalist leads whale watch trips every morning in March. The number of whales seen has a Poisson distribution with a mean of 4.3. Find the probability that on a randomly selected trip, the number of whales seen is 3.

Solve the problem. -The probability that a person has immunity to a particular disease is 0.8. Find the mean number who have immunity in samples of size 25.

Answer the question. -Rolling a single "loaded" die 48 times, keeping track of the "fives" rolled.

Answer the question. -Choosing 10 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green)one at a time with replacement, keeping track of the colors of the marbles chosen.

Identify the given random variable -The cost of a randomly selected orange

Introduction to Statistics

Summarizing and Graphing Data

Statistics for Describing, Exploring, and Comparing Data

Probability

Normal Probability Distributions

Estimates and Sample Sizes

Hypothesis Testing

Inferences From Two Samples

Correlation and Regression

Multinomial Experiments and Contingency Tables

Analysis of Variance

Nonparametric Statistics

Statistical Process Control

Filters

Use the given values of n and p to find the minimum usual value µ - 2? and the maximum usual value µ + 2? - $n = 270 , p = \frac { 1 } { 4 }$

Find the mean, µ, for the binomial distribution which has the stated values of n and p. Round answer to the nearest tenth - $n = 33 ; p = .2$