Consider two random events A and B. Event Ac is the complement of event A, and Bc is the complement of B. P(A) =0.82. P(B) = 0.08, and P(A and B) =0.0656. Then we can say that the two events A and B are:

a. Disjoint

b. Independent

c. Both independent and disjoint

d. Not independent

Harrison Water Sports has two retail outlets: Vancouver and Victoria. The Vancouver store does 54 percent of the total sales in a year, and Victoria the remainder. Further analysis indicates that of the sales in Vancouver, 37 percent are for "boat accessories". Sales of boat accessories at the Victoria store is 41 percent. For a random sale at Harrison Water Sports, find the probability, using a probability tree or otherwise, that the sale was made at the Victoria store AND was for boat accessories.

a. 0.1998

b. 0.2214

c. 0.1702

d. 0.1886

An insurance company estimates that it should make an annual profit of $200 on eachhomeowner's policywritten, with a standard deviation of $8000. The company writes 8100 of thesepolicies. Let Xbar represent the average profit per policy. Then the standard deviation of Xbar , in dollars, is:

a. 88.89

b. 720000

c. 177.78

d. 200