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 ning. About 20% of all adults deliberately do one-time fling and feel no guilt about it! In a group of eight 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 0.630 (b) at least one person has done a one-time fling 0.370 (c) no more than two people have done a one-time fling 0.992

Explanation / Answer

X ~ Binomial (n,p)

Where n = 8 , p = 0.20

Binomial probability distribution is

P(X) = nCx px (1-p)n-x

a)

P( x = 0) = 8C0 0.200 0.808

= 0.168

b)

P( X >=1) = 1 - P( X = 0)

= 1 - 0.168

= 0.832

c)

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

= 8C0 0.200 0.808 +8C1 0.201 0.807 +8C2 0.202 0.806

= 0.797

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