SOLUTION: Women have head circumferences that are normally distributed with a mean given by µ=22.46in, and a standard deviation given by ơ=0.6in. 1. If a hat company produces women'

Algebra ->  Statistics  -> Normal-probability -> SOLUTION: Women have head circumferences that are normally distributed with a mean given by µ=22.46in, and a standard deviation given by ơ=0.6in. 1. If a hat company produces women'      Log On


   



Question 978934: Women have head circumferences that are normally distributed with a mean given by µ=22.46in, and a standard deviation given by ơ=0.6in.
1. If a hat company produces women's hats so that they fit head circumferences between 21.8in and 22.8 in., what is the probability that a randomly selected women will be able to fit into one of these hats?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the z scores for each value.
Then the associated probability.
z%5B1%5D=%2821.8-22.45%29%2F0.6=-1.083
z%5B2%5D=%2822.8-22.45%29%2F0.6=0.567
The probabilities associated with those z scores are,
P%28z%5B1%5D%29=0.1357
P%28z%5B2%5D%29=0.7145
.
.
.
P=0.7145-0.1357
P=0.579