Identify the Given Random Variable as Being Discrete or Continuous The Braking Time of a Car

MULTIPLE CHOICE. �Choose the one alternative that best completes the statement or answers the question.

Identify the given random variable as being discrete or continuous.

1)� The braking time of a car.

A) Discrete B) � Continuous

Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied.

2)�

�

A) Not a probability distribution. B) � Yes, a probability distribution.

Find the mean of the given probability distribution.

3) �A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are , , , and , respectively.

A) � B) � � C) � 0.25 D) � 1.50

Solve the problem.

4)� In a certain town, % of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults) who have a college degree. Find the standard deviation for the probability distribution.

�

A) � B) � � C) � � D) � �

5)� In a certain town, % of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults) who have a college degree. Find the variance for the probability distribution.

�

A) �

B) �

C) �

D) �

6)� A 28-year-old man pays $ for a one-year life insurance policy with coverage of . If the probability that he will live through the year is , what is the expected value for the insurance policy?

A) �

B) �

C) �

D) �

Determine whether the given procedure results in a binomial distribution. If not, state the reason why.

7)� Choosing 5 people (without replacement) from a group of� people, of which 15 are women, keeping track of the number of men chosen.

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.

8)� Spinning a roulette wheel� times, keeping track of the occurrences of a winning number of "16".

A) Procedure results in a binomial distribution..

B) Not binomial: there are too many trials.

C) Not binomial: there are more than two outcomes for each trial.

D) Not binomial: the trials are not independent.

Find the indicated probability.

9)� Suppose that in a certain town, �percent of the voters favor a new ballpark. Find the probability that among �voters questioned, exactly �of them favor the new ballpark.

A) �

B) �

C) �

D) �

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

A) �

B) �

C) �

D) �

11)� An airline estimates that % of people booked on their flights actually show up. If the airline books� people on a flight for which the maximum number is , what is the probability that the number of people who show up will exceed the capacity of the plane?

A) �

B) �

C) �

D) �

12)� A car insurance company has determined that % of all drivers were involved in a car accident last year. Among the� drivers living on one particular street, 3 were involved in a car accident last year. If� drivers are randomly selected, what is the probability of getting 3 or more who were involved in a car accident last year?

A) �

B) �

C) �

D) �

13)� In a study, % of adults questioned reported that their health was excellent. A researcher wishes to study the health of people living close to a nuclear power plant. Among �adults randomly selected from this area, only 3 reported that their health was excellent. Find the probability that when �adults are randomly selected, 3 or fewer are in excellent health.

A) �

B) �

C) �

D) �

Use the given values of n and p to find the minimum usual value m - 2 s and the maximum usual value m + 2 s .

14)� n = , p = �

A) Minimum:� ; maximum:� �

B) Minimum:� ; maximum: �

C) Minimum: ; maximum:� �

D) Minimum:� ; maximum: �

Solve the problem.

15)� A die is rolled �times and the number of times that two shows on the upper face is counted. If this experiment is repeated many times, find the mean for the number of twos.

A) �

B) 1.15

C) 1.05

D) 1.11

16)� A die is rolled �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.

A) 1.33

B) 1.15

C) 1.05

D) 1.11

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 m - 2 s or greater than m + 2 s .

17)� 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 �of the 2500 televisions are tuned to "Eyewitness News"?

A) Yes

B) No

Use the Poisson Distribution to find the indicated probability.

18)� The number of lightning strikes in a year at the top of a particular mountain has a Poisson distribution with a mean of . Find the probability that in a randomly selected year, the number of lightning strikes is .

A) �

B) �

C) �

D) �

19)� For a certain type of fabric, the average number of defects in each square foot of fabric is . Find the probability that a randomly selected square foot of the fabric will contain more than one defect.

A) �

B) �

C) �

D) �

MULTIPLE CHOICE. �Choose the one alternative that best completes the statement or answers the question.

1)� B

ID: STAT8T 4.2.1-7

Page Ref: 181-182

Objective: (4.2) Classify Random Variable as Discrete or Continuous

2)� A

ID: STAT8T 4.2.2-3+

Page Ref: 183-184

Objective: (4.2) *Determine Whether Probability Distribution is Described

3)� B

ID: STAT8T 4.2.3-7

Page Ref: 184-185

Objective: (4.2) Find Mean for Probability Distribution

4)� C

ID: STAT8T 4.2.4-5

Page Ref: 184-185

Objective: (4.2) Find Standard Deviation/Variance for Probability Distribution

5)� A

ID: STAT8T 4.2.4-6

Page Ref: 184-185

Objective: (4.2) Find Standard Deviation/Variance for Probability Distribution

6)� B

ID: STAT8T 4.2.5-5

Page Ref: 188-190

Objective: (4.2) Find Expected Value

7)� D

ID: STAT8T 4.3.1-5

Page Ref: 194-196

Objective: (4.3) Det if Procedure Results in Binomial Distribution

8)� A

ID: STAT8T 4.3.1-10

Page Ref: 194-196

Objective: (4.3) Det if Procedure Results in Binomial Distribution

9)� A

ID: STAT8T 4.3.2-4

Page Ref: 196-199

Objective: (4.3) Solve Apps: Find Probability of Exactly x Successes

10)� B

ID: STAT8T 4.3.3-5

Page Ref: 198-199

Objective: (4.3) Solve Apps: Find Probability of at Least/at Most x Successes

11)� C

ID: STAT8T 4.3.3-6

Page Ref: 198-199

Objective: (4.3) Solve Apps: Find Probability of at Least/at Most x Successes

12)� A

ID: STAT8T 4.3.3-9

Page Ref: 198-199

Objective: (4.3) Solve Apps: Find Probability of at Least/at Most x Successes

13)� A

ID: STAT8T 4.3.3-7

Page Ref: 198-199

Objective: (4.3) Solve Apps: Find Probability of at Least/at Most x Successes

14)� A

ID: STAT8T 4.4.3-6

Page Ref: 207

Objective: (4.4) Find Min/Max Usual Value for Binomial Distrib

15)� A

ID: STAT8T 4.4.4-2+

Page Ref: 205-206

Objective: (4.4) Solve Apps: Means for Binomial Distribution

16)� C

ID: STAT8T 4.4.5-2+

Page Ref: 205-206

Objective: (4.4) Solve Apps: SD/Variances for Binomial Distribution

17)� A

ID: STAT8T 4.4.6-6+

Page Ref: 207

Objective: (4.4) Determine if Outcome is Unusual (Y/N)

18)� C

ID: STAT8T 4.5.1-6

Page Ref: 211-213

Objective: (4.5) Use Mean of Poisson Distrib to Find Probability

19)� B

ID: STAT9T 4.5.1-7

Page Ref: 212-215

Objective: (4.5) Use Mean of Poisson Distribution to Find Probability

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Source: http://faculty.ccp.edu/faculty/sgramlich/152/152pfRTF/152ch4pt.htm

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