a.) The J.O. Supplies Company buys calculators from a Koreansupplier. The probability of a defective calculator is 30%. If 14calculators are selected at random, what is the probability thatmore than 6 of the calculators will be defective?
b.) An important part of the customer service responsibilitiesof a cable company relates to the speed with which trouble inservice can be repaired. Historically, the data show that thelikelihood is 0.70 that troubles in a residential service can berepaired on the same day. For the first six troubles reported on agiven day, what is the probability that: Fewer than 3 troubles willbe repaired on the same day?
c.) Given the length an athlete throws a hammer is a normal randomvariable with mean 60 feet and standard deviation 2.5 feet, what isthe probability he throws it between 55 feet and 65 feet?
d.) 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 normalapproximation to the binomial. Check the condition for continuitycorrection.
