Question

Essay type questions)

6. In a recent survey of homes in a major Midwestern city, 10% of the homes have a fax machine and 55% have a personal computer. Suppose 7% of the homes with a fax machine also have a personal computer. What is the probability that a home has a fax machine or a personal computer?

Chapter 6
7. The J.O. Supplies Company buys calculators from a Korean supplier. The probability of a defective calculator is 30%. If 14 calculators are selected at random, what is the probability that more than 6 of the calculators will be defective?

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 0.70 that troubles in a residential service can be repaired on the same day. For the first six troubles reported on a given day, what is the probability that: Fewer than 3 troubles will be repaired on the same day?

Chapter 7
9. Given the length an athlete throws a hammer is a normal random variable with mean 60 feet and standard deviation 2.5 feet, what is the probability he throws it between 55 feet and 65 feet?

10. If x is a binomial random variable where n = 100 and p = 0.30, find the probability that x is more than 25 using the normal approximation to the binomial. Check the condition for continuity correction.

Answer 1

(Question 6)

Probability of having Fax or Computer = Probability of having Fax + Probability of having Computer - Probability of having both Fax and Computer

= 10% + 55% - 7%

= 58%

NOTE: As per Chegg Answering Policy, 1st question has been answered.