Assuming that the heights of college women are normally distributed with mean 61

Question

Assuming that the heights of college women are normally distributed with mean 61 inches and standard deviation 2.5 inches, answer the following questions. (Hint: Use the figure below with mean and standard deviation .)

(a) What percentage of women are taller than 61 inches?
%______

(b) What percentage of women are shorter than 61 inches?
%______

(c) What percentage of women are between 58.5 inches and 63.5 inches?
%______

(d) What percentage of women are between 56.0 and 66.0 inches?
%_______

Explanation / Answer

here as 61 falls in middle

a)hence 50%

b)50%

c) P(58.5<X<63.5)=P(-1<Z<1)=(34+34)%=68%

d)P(56<X<66)=P(-2<X<2)=(34+13.5+34+13.5)%=95%

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