Carlton & Devore, Exercise 17, Section 1.2. (See this textbook in the textbook f

Question

Carlton & Devore, Exercise 17, Section 1.2. (See this textbook in the textbook folder-VPN required). Consider the type of clothes dryer (gas or electric) purchased by each of five different customers at a certain store. (a) If the probability that at most one of these customers purchases an electric dryer is 428, what is the probability that at least two purchase an electric dryer? (b) If P(all five purchase gas) = 0.116 and P(all five purchase electric) = 0.005, what is the probability that at least one of each type is purchased?

Explanation / Answer

Ans:

a)P(atmost one)=P(k<=1)=0.428

P(atleast 2)=P(k>=2)=1-P(k<=1)=1-0.428=0.572

b)P(atleast one of each type)=1-P(all gas or all electric)=1-(0.116+0.005)=1-0.121=0.879

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