1.The number of items rejected daily by a manufacturer because of defects for the last 30 days are: 20, 21, 8, 17, 25, 19, 18, 19, 14, 17, 11, 6, 21, 25, 4, 19, 9, 12, 16, 16, 10, 28, 24, 6, 21, 20, 25, 5, 17, 10 Complete this frequency table for these data: (Ch.2) Frequency Rel. Freq. Cumulative Rel. Freq. 4 < 9 9 < 14 14 < 19 19 < 24 24 < 29

2.Given the length an athlete throws a hammer is a normal random variable with mean 50 feet and standard deviation 5 feet, what is the probability he throws it between 42 feet and 62 feet?

3.f x is a binomial random variable where n=100 and p=.2, find the probability that x is less than or equal to 15 using the normal approximation to the binomial. (Ch.7) (Discuss whether continuity correction is required or not)

4.A lot contains 15 items and 6 are defective. If two items are drawn at random from the lot, without replacement, what is the probability there is exactly one non-defective?(Hint: You have to use both Multiplication and Addition rules)

5.The J.O. Supplies Company buys calculators from a Korean supplier. The probability of a defective calculator is 10%. If 14 calculators are selected at random, what is the probability that less than 5 of the calculators will be defective?

6.At a college, 70 percent of the students are women and 50 percent of the students receive a grade of C. 25 percent of the students are neither female nor C students. Use this table: C Not C Women .45 .25 Men .05 .25 If the student is a C student, find the probability the student is a male.

7.

The following frequency table summarizes the ages of 65 shoppers at the local grocery store. Calculate the sample variance and standard deviation for this data set.(Hint: First calculate class mid-points and the Mean for the grouped data)(Ch 3)

Age Frequency

18-28 10

28-38 16

38-48 15

48-58 10

58-68 8

68-78 6

8.An important part of the customer service responsibilities of a cable company relates to the speed with which trouble in service can be repaired. Historically, the data show that the likelihood is 0.80 that troubles in a residential service can be repaired on the same day. For the first eight troubles reported on a given day, what is the probability that: At least 4 troubles will be repaired on the same day.