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Assume that the heights of U.S. women follow a normal distribution with mean height of 5.53...

Assume that the heights of U.S. women follow a normal distribution with mean height of 5.53 feet and a standard deviation of 8 feet. What is the probability that a randomly selected woman has a height less than 5.53? Round to the nearest hundredth.

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Answer #1

Solution :

Given that,

mean = = 5.53

standard deviation = = 8   

P(X<5.53) = P[(X- ) / < (5.53-5.53) /8 ]

= P(z < 0)

Using z table

= 0.50

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