a) no one has done a one-time fling (b) at least one person has done a one-time

Question

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 flingThe 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.)

Explanation / Answer

Ans:

Use Binomial distribution with n=10 and p=0.1

P(x=r)=10Cr*0.1r*(1-0.1)10-r

a)

P(x=0)=(1-0.1)10=0.349

b)

P(at least one)=1-P(x=0)=1-0.349=0.651

c)

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

=0.349+10C1*0.11*(1-0.1)9+10C2*0.12*(1-0.1)8

= 0.349+0.387+0.194

=0.930

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