Weights of males in a large metropolitan area are normally distributed with a mean of 70 kg and a standard deviaion of 5 kg. Weight of a male, chosen at random from this area, is 1.45 standard deviations below the mean. His weight, in Kg, is:

a. 71.45

b. 68.55

c. 77.25

d. 62.75

Harrison Water Sports has two retail outlets: Vancouver and Victoria. The Vancouver store does 40% of the total sales in a year, and Victoria the remainder. Further analysis indicates that of the sales in Vancouver, 40% are for "boat accessories". Sales of boat accessories at the Victoria store is 37%. For a random sale at Harrison Water Sports, find the probability, using a probability tree or otherwise, that the sale was NOT for "boat accessories".

a. 0.618

b. 0.382

c. 0.24

d. 0.378

Suppose random variable X follows a normal distribution with standard deviation = 10 units. Further, we are given that P(X <190) = 0.9803. The mean of the random variable X is:

a. 169.4

b. 145.68

c. 167.53

d. 184.28

In Melanie's Styling Salon, the time to complete a simple haircut is normally distributed with a mean of 28 minutes and a standard deviation of 8 minutes. On a normal Monday afternoon, two random customers walked into Melanie s and both asked for a simple haircut. Let X represent the total time to complete the haircuts for these two customers. What is the mean of X?

a. 56

b. 28

c. 16

d. 36

An insurance company estimates that it should make an annual profit of $220 on eachhomeowner's policywritten, with a standard deviation of $8000. If the company writes only three of thesepolicies, the mean of the annualprofit, in dollars, is:

a. 165

b. 660

c. 330

d. 220