The one-time fling! Have you ever purchased an article of clothing (dress, sport

Question

The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party, and then returned the purchase? This is called a one-time fling. About 5% of all adults deliberately do a one-time fling and feel no guilt about it! In a group of seven adult friends, what is the probability of the following? (Round your answers to three decimal places.)

(a) no one has done a one-time fling


(b) at least one person has done a one-time fling


(c) no more than two people have done a one-time fling

Explanation / Answer

PROBABILITY OF DOING ONE TIME FLING = 0.05

PROBABILITY OF NOT DOING ONE TIME FLING = 1-0.05 = 0.95

WE HAVE N = 7

A) P(X=0, NO ONE DONE FLING) = 7C0*(0.05)^0*(0.95)^7 = 0.698

B)P( AT LEAST ONE PERSON DONE IT) = 1 - P( 0 PERSON DONE IT) = 1 - 0.698 = 0.302

C) P(<=2) = P(0)+P(1)+P(2)

P(1) = 7C1*(0.05)^1*(0.95)^6 = 0.257

P(2) = 7C2*(0.05)^2*(0.95)^5 = 0.040

THEREFORE P(X<=2) =

= 0.698 + 0.040 + 0.257 = 0.995

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