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 10% of all adults deliberately do a one-time fling and feel no guilt about it! In a group of ten 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

p = 0.1

n = 10

P(X = x) = 10Cx * 0.1x * (1 - 0.1)10-x

A) P(X = 0) = 10C0 * 0.10 * 0.910 = 0.3487

B) P(X > 1) = 1 - P(X = 0) = 1 - 0.3487 = 0.6513

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

= 10C0 * 0.10 * 0.910 + 10C1 * 0.11 * 0.99 + 10C2 * 0.12 * 0.98

= 0.9298

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