1. Discrete Distribution Review

2. The following table shows the number of people in families and the probability. What is the probability of a family of 6? P(family of 4 or less) What is the expected value of the family size? What is the standard deviation? Sketch a histogram. Number23456 P(number).2.34.32.08

3. Math majors make up 5% of the undergraduates at OSU. a)What is the probability of having 4 math majors in a group of 15 undergrads. b)What is the probability of 7 or more math majors in a group of 25 undergrads? c)What is the expected value and standard deviation? d)What is the histogram ?

4. The 2010 census is underway and a census worker has a 77% chance of a household talking to them. a)In a neighborhood of 10 homes what is the probability of more than 3 not talking to them? b)What is the probability of talking to 2 homes before they find a home that will talk to them? c)What is the probability of talking to more than 3 homes before they find a home that will talk to them?

5. In the US Civil War only 3 shots in 20 hit a target of 18 square feet from 300 yards. a)What is the probability of more than 5 shots hitting an 18 sq ft target from 300 yards? b)What is the probability of fewer than 5 shots hitting a 36 sq ft target from 300 yards? c)Sketch the histogram of this distribution. d)Calculate the mean and standard deviation of the distribution.

6. A basketball player shoots 82% from the free- throw line. a)What is the probability she makes her first free-throw after 4 shots? b)What is the probability she makes fewer than 10 of 15 free-throws? c)What is the probability she misses her first 4 shots?

7. Intel claims that each chip has 4% chance of failing in the first 3 years of use. a)What is the probability that more than 50 of the schools 60 computers with Intel chips fail in three years? b)What is the probability of finding the first failing computer on the 8 th try? c)What is the mean and standard deviation of the geometric distribution?

8. A super shopper is defined as any shopper for whom more than 70% of their purchases are made with coupons. Age18-28 29-34 40-50 51-61 62 and over %.07.44.24.14.11 a)Create a histogram b)Calculate μ and σ. c)What is the probability of a shopper being between ages 29 and 50?

9. A shipment of 100 tires is known to contain 20 defective tires. 5 tires are selected at random with replacement. What is the probability no more than two defective tires are chosen? In this case 15 tires are selected. What is the probability of getting at least 1 defective tire? What is the probability of getting the first defective tire on the 5 th try?

10. A distribution defined as B(20,.75) has a histogram with what shape? What is the expected value? What is the standard deviation? A distribution defined as G(.33) has a histogram with what shape? What is the expected value? What is the standard deviation?