# Answer to Question #25431 in Statistics and Probability for Christy

Question #25431

1. (35 pts) Do this one by hand. Suppose we measured the height of 3000 women and found that the data were normally distributed with a mean of 64 inches and a standard deviation of 4 inches. Answer the following (and show your work):

A. What proportion of women can be expected to have heights less than: 57, 61, 67.4, 72 inches?

B. What proportion of women can be expected to have heights greater than: 54, 64, 65, 71 inches?

C. What proportion of women can be expected to have heights between: 58 and 65.6 inches, 66 and 69 inches?

D. How many women (of the 3000) can be expected to have heights between: 59 and 65.6 inches, 60 and 69 inches?

E. What height corresponds to the 43rd percentile? What height corresponds to the 55th percentile? What height corresponds to the 96th percentile? (If necessary, round the numbers, but keep at least two decimal places.)

A. What proportion of women can be expected to have heights less than: 57, 61, 67.4, 72 inches?

B. What proportion of women can be expected to have heights greater than: 54, 64, 65, 71 inches?

C. What proportion of women can be expected to have heights between: 58 and 65.6 inches, 66 and 69 inches?

D. How many women (of the 3000) can be expected to have heights between: 59 and 65.6 inches, 60 and 69 inches?

E. What height corresponds to the 43rd percentile? What height corresponds to the 55th percentile? What height corresponds to the 96th percentile? (If necessary, round the numbers, but keep at least two decimal places.)

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