A survey was conduceted to measure the height of men. In thesurvey, respondents

Question

A survey was conduceted to measure the height of men. In thesurvey, respondents were grouped by age. In the 20-29 age group ,the heights were normally distributed, with a mean of 68.1 inchesand standard deviation of 3.0 inches. A study participant israndomly selected. complete A-C (A) find the probablity that his height is less than 67 inches? how do i do this problem (B) find th probability that his height is between 67 and 70inches. (C) Find the probablity that his height is more tahn 70inches.

Explanation / Answer

(A) find the probability that his height is less than 67inches ? how do i do this problem
P(X<67)=P((X-)/ <(67-68)/3)
=P(Z<-0.33)
=0.3707 (check normal table)

(B) find the probability that his height is between 67 and 70inches.
P(67<X<70)=P((67-68)/3 <Z<(70-68)/3)
=P(-0.33<Z<0.67)
=0.3778 (check normal table)

(C) Find the probability that his height is more than 70inches.

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