a. How many fliers do you think the automobile dealership sent out?
b. Using your answer to (a) and the probabilities listed on the flier, what is the expected value of the prize won by a prospective customer receiving a flier?
c. Using your answer to (a) and the probabilities listed on the flier, what is the standard deviation of the value of the prize won by a prospective customer receiving a flier?
2. Many manufacturing problems involve the matching of machine parts, such as shafts that fit into a valve hole. A particular design requires a shaft with a diameter of 22,000 mm, but shafts with diameters between 21.990 mm and 22.010 mm are acceptable. Suppose that the manufacturing process yields shafts with diameters normally distributed, with a mean of 22.002 mm and a standard deviation of 0.005 mm. For this process, what is
a. the proportion of shafts with a diameter between 21.99 mm and 22.00 mm?
b. the probability that a shaft is acceptable?
c. the diameter that will be exceeded by only 2% of the shafts?
3. The file SavingsRate contains the yields for a money market account, a one-year certificate of deposit (CD), and a five-year CD for 23 Banks in the metropolitan New York area, as of May 28, 2009. For each of the three types of investments decide whether the data appear to be approximately normally distributed by
a. comparing data characteristics to theoretical properties
b. constructing a normal probability plot.
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