PSTAT 109: Quiz 5 Winter 2014

PSTAT 109: Quiz 5

Winter 2014

Instructions: Please show all work in an organized fashion for full credit.

Problem 1. Panera Bread has a daily breakfast special in which the customer may choose

one item from each of the following groups:

Breakfast Sandwich Accompaniments Juice

egg and ham breakfast potatoes orange

egg and bacon apple slices cranberry

tomato and cheese fresh fruit cup tomato

pastry apple

grape

a. How many di
erent breakfast specials are possible?

b. How many di
erent breakfast specials without meat are possible?

c. Suppose Mike only wants to order two di
erent 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.