|18. | Sociology: Ethics The one-time fling! Have you ever purchased an articleof clothing (dress, sports jacket, etc.), worn the item once to a party, and thenreturned the purchase? This is called a one-time fling. About 10% of all adultsdeliberately do a one-time fling and feel no guilt about it (Source: Are YouNormal?, by Bernice Kanner, St. Martin's Press). In a group of seven adultfriends, what is the probability that(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?

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Asked Dec 20, 2019
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|18. | Sociology: Ethics 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 (Source: Are You
Normal?, by Bernice Kanner, St. Martin's Press). In a group of seven adult
friends, what is the probability that
(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?
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|18. | Sociology: Ethics 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 (Source: Are You Normal?, by Bernice Kanner, St. Martin's Press). In a group of seven adult friends, what is the probability that (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?

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Given data

Probability of adult doing one-time fling (p) = 0.10

n = 7

a) Probability...

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Applying Binomial theorem Probability of x success out ofn trial is given by Р(X %— х) — (") x р*x (1—р)"-х x 0.10° x (1 – 0.10)7 => P(X = 0) = 7! x 0.10° × (1 – 0.10)7-0 0! × (7 – 0)! 0.4782969 b) Probability that at least one person has done a one-time fling is given by => P(X > 1) = 1 – P(X < 1) = 1 – P(X = 0) = 1 – 0.4782969 = 0. 5217031 c) Probability that no more than two people have done a one-time fling is given by => P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2) x 0.101 x (1 – 0.10) + x 0.102 x (1 – 0.10)5 x 0.10° × (1 – 0.10)" + = 0.4782969 + 0.372009 + 0.124003 = 0.974309 %3D

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