Use a computer or calculator to find the probability that one randomly selected value of x from a normal distribution (mean of 584.2 and standard deviation of 37.3) will have a value that corresponds to the following:

a. Less than 525

b. Between 525 and 590

c. At least 590

d. Verify the results of parts a–c using Table 3.

e. Explain any differences you may find between answers in part d and those in parts a–c.

MINITAB Input 525 and 590 into C1; then continue with the cumulative probability commands on page 329, using 584.2 as

, 37.3 as , and C2 as optional storage.

Excel Input 525 and 590 into column A and activate the B1 cell; then continue with the cumulative probability commands on page 329, using 584.2 as  and 37.3 as .

TI-83/84 Input 525 and 590 into L1; then continue with the cumulative probability commands on page 330 in L2, using 584.2 as  and 37.3 as .