Question:A company installs new central-heating furnaces and has found thatfor 15% of all installations, a return visit is needed to make somemodifications. Six installations were made in a particular week.Assume independence of outcomes for these installations.a. What is the probability that a return visit will be needed in allthese cases?b. What is the probability that a return visit will be needed in noneof these cases?c. What is the probability that a return visit will be needed in morethan 1 of these cases?Answer :The number of installations in a particular week,The percentage of installations for which a return visit needed tomake modifications is, Here, number of trials is fixed and the probability of success isknown. So, apply binomial distribution.
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Probability, Probability theory, Cumulative distribution function, Discrete probability distribution, number of installations