SOLUTION: In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean of 69.3 inches and a standard deviation of 2.0 inches. A study par

Algebra ->  Probability-and-statistics -> SOLUTION: In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean of 69.3 inches and a standard deviation of 2.0 inches. A study par      Log On


   

Question 1182288: In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean of 69.3 inches and a standard deviation of 2.0 inches. A study participant is randomly selected.
​(a) Find the probability that a study participant has a height that is less than 66 inches.
The probability that the study participant selected at random is less than 66 inches tall is______?
Round to four decimal places as​ needed.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z=(x-mean)/sd
=(66-69.3)/2.0
=-3.3/2.0
=-1.65
probability z < -1.65
=0.0495