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 20% 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.

Answer 1

Given: p=0.20 and n = 7 a. P(x=0) = ()*(0.20)0 + (0.80)% = 0.2097 The probability that No one has done a one-time fling = 0.2097 = 0.210 b. P(X> 1) = 1-P (X = 0) = 1 - ()*(0.20)0*(0.80)? = 1-0.2097 = 0.7903 The probability that at least one person has done a one-time fling = 0.7903 = 0.790 C. P(X 2) = P(X = 0) +P (X = 1) +P (X = 2) = 0)*(0.20)0 + (0.80)? + (%) * (0.20)** (0.80)6 + ()*(0.20)2 + (0.80)5 = 0.2097 +0.3670 +0.2753 = 0.8520 The probability that no more than two people have done a one-time fling = 0.852