# Math

The hieght,X ,of young American women is distributed normal with mean 65.5 and standard deviation 2.5 inches .find the probability of each the following events.
a- X<67
b-64<X<67

1. 0
2. 0
3. 57
1. 1. find
Z-score = (X-mean)/stdev
=(67-65.5)/(2.5)
=(1.5)/2.5
=0.6
2. Look up standard normal distribution tables for one-tail where Z-score = 0.6
P(x<X=67)=0.7257469 [from tables for Z=0.6]

For part b, find similarly P(x<X=64)
then
P(64<x<67)
=P(x<67)-P(x<64)

1. 0
2. 0
posted by MathMate

## Similar Questions

1. ### Math Statistics

The hieght of women are approximately normally distributed with a mean of 65.4 inches and a standard deviation of 2.5 inches. What percent of these women would be over 70 inches or more? 70-64.5/2.5 = 2.2 Is this correct? How

asked by Bonnie on March 6, 2013
2. ### stat

The heights of young American women, in inches, are normally distributed with mean mu and standard deviation 2.4 (sigma). I select a simple random sample of four young American women and measure their heights. The four heights, in

asked by kim on October 6, 2014
3. ### statistics

Heights of young adult U.S. women are approximately normal with mean 64" and standard deviation 2.7". What proportion of all U.S. young adult women are taller than 6 feet?

asked by Ashley on January 24, 2012
4. ### statistics

Heights of young adult US women are approximately normal with mean 64" and standard deviation 2.7". What proportion of all US young adult women are taller than 6 feet?

asked by Anonymous on September 9, 2010
5. ### Statistics

The heights of young women are approximately normally distributed with a mean of 64.5 inches and a standard deviation of 2.5 inches. Determine the following: what percent of young women would be acceptable as members if being a

asked by Sue on March 4, 2013
6. ### Statistics

the heights of young women are approximately Normal with 65 inches and standard deviation 2.5 inches. The heights of men in the same age group have mean 70 inches standard deviation 2 inches. What percentage of women are taller

asked by Tay on October 22, 2015
7. ### statistics

A survey found that women's heights are normally distributed with mean 63.5 in. and standard deviation 2.3 in. The survey also found that men's heights are normally distributed with a mean 68.7 in. and a standard deviation 2.8.

asked by Kelli on December 13, 2014
8. ### Math

We have the survey data on the body mass index (BMI) of 648 young women. The mean BMI in the sample was x¯=27.2. We treated these data as an SRS from a Normally distributed population with standard deviation σ= 7.4. Find the

asked by Mike on March 7, 2018
9. ### statistics

The heights of young women are approximately normal with a mean 64.5 in and a standard deviation of 2.5 in. What is the probability that a woman chosen at random is taller than 63.6 inches?

asked by Lynn on August 15, 2012
10. ### stats

(a) The test had six multiple-choice items that were scored as correct or incorrect, so the total score was an integer between 0 and 6. Do you think that these data are Normally distributed? Explain why or why not. The

asked by Anonymous on September 26, 2016

More Similar Questions