The average stock price for companies making up the S&P 500 is $30, and the standard deviation is $8.20 (BusinessWeek, Special Annual Issue, Spring 2003). Assume the stock prices are normally distributed. a. What is the probability a company will have a stock price of at least $40? b. What is the probability a company will have a stock price no higher than $20? c. How high does a stock price have to be to put a company in the top 10%?

When will I see the credit?  In a random sample of 170 customers, 90 ordered chicken sandwitches for lunch.  In a recent study reported Sept. 21, 1952 on the Flurry Blog, the mean age of tablet users is 34 years. Suppose the standard deviation is 15 years. Take a sample of n = 100. Find the probability that at least 150 favor a charter school.

An insurance company will insure a $75,000 automobile for its full value against theft by apolicy with a premium of $1,500 per year. Suppose that the probability that the automobile willbe stolen is 0.0075.a. Construct the probability distribution.b. Calculate the insurance company's expected net profit for this policy.

The average student loan debt for college graduates is $25,950. Suppose that that distribution is normal and that the standard deviation is $14,900. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar. a. What is the distribution of X? X - N( b Find the probability that the college graduate has between $29,350 and $41,850 in student loan debt. c. The middle 10% of college graduates' loan debt lies between what two numbers? Low: $ High: $