Women’s heights are normally distributed with a mean of 64.5 and a standard deviation of 2.5 inches. A) If we pick one woman at random, what is the probability that her height, X, will be between 67 inches and 72 inches? That is, compute P(67 < X < 72). Note that since the woman is selected at random, X is a random variable. B) What proportion of women will have heights between 67 and 72 inches i.e. find the relative frequency of women who have heights between 67 and 72 inches? (Hint: refer to 68-95-99.7% rule in Chapter-1 ) Compare your answers for parts a) and b) and comment on the similarity/difference in the concepts of (experimental/empirical) probability and relative frequency.
Women’s heights are normally distributed with a mean of 64.5 and a standard deviation of 2.5 inches.
A) If we pick one woman at random, what is the probability that her height, X, will be between 67 inches and 72 inches? That is, compute P(67 < X < 72).
Note that since the woman is selected at random, X is a random variable.
B) What proportion of women will have heights between 67 and 72 inches i.e. find the relative frequency of women who have heights between 67 and 72 inches? (Hint: refer to 68-95-99.7% rule in Chapter-1 )
Compare your answers for parts a) and b) and comment on the similarity/difference in the concepts of (experimental/empirical) probability and relative frequency.
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