Question

(SHOW YOUR WORK!!!)

Assume that the heights of women are normally distributed with a mean of 65 inches and a standard deviation of 3.5 inches. If a single woman is randomly selected, find the probability that they have a height greater than 69 inches.

Answer 1

Solution :

Given that,

mean = = 65

standard deviation = = 3.5

n=1

= =65

= / n = 3.5/ 1= 3.5

P( >69 ) = 1 - P( <69 )

= 1 - P[( - ) / < (69 -65) /3.5 ]

= 1 - P(z <1.14 )

Using z table

= 1 - 0.8729

= 0.1271

probability= 0.1271