Probability: Normal Distribution problems – #29114


Question: In a study of 1000 two parent families, a researcher found the mean height of the husbands was 68 inches with a standard deviation of 2.7 inches. The mean height of the wives was 63 inches with a standard deviation of 2.5 inches. Assume that the populations of husbands and wives both are normally distributed.

a. What % of the population of husbands has heights between 69 and 71 inches?

b. How many husbands have heights between 69 and 71 inches?

c. What % of the population of wives has heights between 59 and 64 inches?

d. What % of the population of wives has heights of 60 inches or less?

e. How many wives have heights equal to or below 60 inches?

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