Find the standard normal area for each of the following. Sketch the normal curve and shade in the area represented below.

a. P(Z , 21.28)

b. P(Z . 1.28)

c. P(21.96 , Z , 1.96)

d. P(21.65 , Z , 1.65)

Bob’s exam score was 2.17 standard deviations above the mean. The exam was taken by 200 students. Assuming a normal distribution, how many scores were higher than Bob’s?

Joan’s finishing time for the Bolder Boulder 10K race was 1.75 standard deviations faster than the women’s average for her age group. There were 405 women who ran in her age group. Assuming a normal distribution, how many women ran faster than Joan?

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