Question 12

At a large department store, the average number of years of service was 13.5 years with a standard deviation of 6.2 years. If an employee is picked at random, what is the probability that the employee has worked for the company over 23 years? Hint: Draw the normal distribution curve. Use calculator!

Question 12 options:

	0.0416
	0.0416
	0.0318
	0.0627

Question 13

A national college entrance exam had an average of 487 on the Math portion of the test with a standard deviation of 45. Mia had a score of 512 on her math portion of the test. What was her z-score?

Question 13 options:

	-0.56
	0.68
	0.56
	0.96

Question 14

A deck of cards has 52 cards. The deck has four suits: 13 clubs, 13 diamonds, 13 hearts, and 13 spades. What is the probability of choosing both a club and a spade from this deck of cards assuming that the first card is not replaced?

Question 14 options:

	0.0649
	0.0549
	0.0591
	0.0637

Question 15

If a die is rolled one time, what is the probability of getting a number smaller than 3? (Hint: Use addition rule).

Question 15 options:

	1/2
	5/6
	2/3
	1/3

Question 16

In a standard normal distribution, what is the z-value for the 29^thpercentile?

Question 16 options:

	0.81
	0.35
	-0.81
	-0.55

Question 17

The Georgetown, South Carolina, Traffic Division reported 40 percent of the high-speed chases involving automobiles result in a minor or major accident. During a month in which 50 high-speed chases occur, what is the probability that more than 25 will result in a minor or major accident? Hint: Use Binomial Prob. Distribution (Write the problem in symbolic form: P (x > 25 chases) =?)

Question 17 options:

	0.128
	0.057
	0.098
	0.040

Question 18

If the probability of winning the Colorado lottery is 1/5,000,000, what is the probability of winning the lottery if you bought 10 tickets for the same drawing?

Question 18 options:

	1/1,000,000
	1/500,000
	1/5,000,000
	1/2,500,000

Question 19

According to a government study among adults in the 25 to 34-year age group, the mean amount spent per year on reading and entertainment is $1,994. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $350.

a. What percent of the adults spend more than $2,500 per year on reading and entertainment?

b. What percent spend between $2,500 and $2,800 per year on reading and entertainment?

Question 20

1. An auditor for Health Maintenance Services of Georgia reports 40 percent of policyholders 55 years or older submit a claim during the year. Twenty policyholders are randomly selected for company records. (Binomial Dist.)

a. How many of the policyholders would you expect to have filed a claim within the last year? ie. The mean value.

b. What is the probability that 10 of the selected policyholders submitted a claim last year?

c. What is the probability that 10 or more of the selected policyholders submitted a claim last year?

Question 21

A study of the checkout lines at the Safeway Supermarket in the South Strand area revealed that between 4 and 7 pm on weekdays, there is an average of four customers waiting in line. What is the probability that you visit Safeway today during this 3 hour period and find: (Poisson distribution).

1. One customer is waiting?
2. Four customers are waiting?

Question 22

The mean SAT score for Division 1 student-athletes is 947 with a standard deviation of 205. If you select a random sample of 60 of these students, what is the probability the mean is below 900?

Question 23 For the following normal distribution, if =50 and =15, what is the 90^th percentile for a random variable x?