UCSB PSTAT 109 Statistics for Economics Question-Quiz 5

Problem 1

Panera Bread has a daily breakfast special in which the customer may choose

One item from each of the following groups:

a. How many different breakfast specials are possible?

b. How many different breakfast specials without meat are possible?

c. Suppose Mike only wants to order two different types of juice from the list above and

is currently undecided as to which juices he'll order. How many possible juice pairs

are available to him?

Problem 2

 Consider the following events in the toss of a single die:

A. Observe an odd number.

B. Observe a 1 or 2.

Are A and B independent events?

Problem 3

 An advertising executive is studying television viewing habits of married men

and women during prime time hours. On the basis of past viewing records, the executive has determined that during prime time, husbands are watching television 60% of the time. It has also been determined that when the husband is watching television, 40% of the time the wife is also watching. When the husband is not watching television, 30% of the time the wife is watching television. Find the probability that

a. the wife is watching television in prime time.

b. if the wife is watching television, the husband is also watching television.