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 six 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

(a)

Binomial Distribution

n = 6

p = 0.10

q = 1 - p = 0.90

So,

Answer is:

0.5314

(b)
P(X1) = 1 - P(X=0)

        = 1 - 0.5314

          = 0.4686

So,

Answer is:

0.4686

(c)
P(X2)=P(X=0)+P(X=1)+P(X-2)

So,

P(X2) = 0.9841

So,

Answer is:

0.9841