# Mgmt Chapter 6 Homework

**Topics:**Normal distribution, Standard deviation, Variance

**Pages:**3 (674 words)

**Published:**June 19, 2013

of 0 and a standard deviation of 1, as in Table E.2), what is the probability that

a. Z is less than 1.57?

b. Z is greater than 1.84?

c. Z is between 1.57 and 1.84?

d. Z is less than 1.57 or greater than 1.84?

6.5 Given a normal distribution m = 100 and s = 10

what is the probability that

a. X > 75?

b. X < 70?

c. X < 80 or X > 100?

d. Between what two X values (symmetrically distributed around the mean) are 80% of the values?

6.7 In a recent year, about two-thirds of U.S. households

purchased ground coffee. Consider the annual ground cof-

fee expenditures for households purchasing ground coffee,

assuming that these expenditures are approximately distrib-

uted as a normal random variable with a mean of $65.16 and

a standard deviation of $10.00.

a. Find the probability that a household spent less than $35.00. b. Find the probability that a household spent more than

$60.00.

c. What proportion of the households spent between $40.00

and $50.00?

d. 99% of the households spent less than what amount?

6.11 A statistical analysis of 1,000 long-distance telephone calls made from the headquarters of the Bricks and Clicks

Computer Corporation indicates that the length of these

calls is normally distributed, with m = 240 seconds and

s = 40 seconds.

a. What is the probability that a call lasted less than 180

seconds?

b. What is the probability that a call lasted between 180 and 300 seconds?

c. What is the probability that a call lasted between 110 and 180 seconds?

d. 1% of all calls will last less than how many seconds?

6.19 Thirty companies comprise the DJIA. Just how big

are these companies? One common method for measuring

the size of a company is to use its market capitalization,

which is computed by multiplying the number of stock

shares by the price of a share of stock. On June 19, 2009, the market capitalization of these companies ranged from...

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