1.A restaurant in a fast food franchise has determined that the chance a customer will order a soft drink is 0.86. The probability that a customer will order a hamburger is 0.57. The probability that a customer will order french fries is 0.56. Complete parts a and b below.

a. If a customer places anorder, what is the probability that the order will include a soft drink and no fries if these two events areindependent?

The probability is ??????.

(Round to four decimal places asneeded.)

b. The restaurant has also determined that if a customer orders ahamburger, the probability the customer will order fries is 0.76. Determine the probability that the order will include a hamburger and fries.

The probability is ???????(Round to four decimal places asneeded.)

2.A bicycle company makes two mountain bike models that each come in three colors. Use the followingtable, which shows the production volumes for oneweek, to answer parts a through d.

Color

Model

Blue

Brown

White

AD-50

292

99

195

FL-99

43

224

135

a. Based on the relative frequency assessmentmethod, what is the probability that a manufactured item is white?

P(white)=???????Round to four decimal places asneeded.)

b. What is the probability that the product manufactured is an FL-99?

P(FL-99)=?????Round to four decimal places asneeded.)

c. What is the probability that a product manufactured is an FL-99 and white?

P(FL-99 and white)=????(Round to four decimal places asneeded.)

d. Suppose a product was chosen at random. Consider the followingevents: the event that model FL-99 was chosen and the event that a brown product was chosen. Are these two events mutuallyexclusive? Explain.

A.

The two events are not mutually exclusive because the probability of the events occurring together is not 0.

B.

The two events are mutually exclusive because the probability of the events occurring together is 0.

C.

The two events are mutually exclusive because the probability of the events occurring together is not 0.

D.

The two events are not mutually exclusive because the probability of the events occurring together is 0.