# QUESTION # 1

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

QUESTION # 2

Consider a binomial experiment with *n* = 8 trials

where the probability of success on a single trial is *p* = 0.05.

Round your answers to three decimal places.

(a) Find *P*(*r* = 0).

(b) Find *P*(*r* ≥ 1) by using the complement rule.

QUESTION # 3

What is the income distribution of super shoppers? A *supermarket super shopper* is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon. In the following table, income units are in thousands of dollars, and each interval goes up to but does not include the given high value. The midpoints are given to the nearest thousand dollars.Income range 5-15 15-25 25-35 35-45 45-55 55 or more

Midpoint *x *10 20 30 40 50 60

Percent of super shoppers 21% 13% 20% 17% 19% 10%

(c) Compute the expected income *μ* of a super shopper. (Round your answer to two decimal places.)

*μ* = thousands of dollars

(d) Compute the standard deviation *σ* for the income of super shoppers. (Round your answer to two decimal places.)

*σ* = thousands of dollars

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