Q2. Suppose heights of female (cm) is normally distributed as N(μ= 165, o² = 7.5²) where the mean μ = 165 and the standard deviation = 7.5. Do the followings with R: 1. What proportion of female is taller than 170cm? 2. What proportion of heights of female is in the interval (1651.96 7.5, 165 +1.96 * 7.5)? 3. Create a plot of probability density function (pdf) of the normal distribution. 4. Create a plot of cdf of the normal distribution. 5. Draw a random sample of size 1000 from the distribution. Plot a histogram and calculate the sample mean and the sample variance. The sample mean and the sample variance are estimators of what values?
Q2. Suppose heights of female (cm) is normally distributed as N(μ= 165, o² = 7.5²) where the mean μ = 165 and the standard deviation = 7.5. Do the followings with R: 1. What proportion of female is taller than 170cm? 2. What proportion of heights of female is in the interval (1651.96 7.5, 165 +1.96 * 7.5)? 3. Create a plot of probability density function (pdf) of the normal distribution. 4. Create a plot of cdf of the normal distribution. 5. Draw a random sample of size 1000 from the distribution. Plot a histogram and calculate the sample mean and the sample variance. The sample mean and the sample variance are estimators of what values?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Q2.
Suppose heights of female (cm) is normally distributed as
N(μ = 165, o² = 7.5²)
where the mean = 165 and the standard deviation o = 7.5. Do the followings with R:
1. What proportion of female is taller than 170cm?
2. What proportion of heights of female is in the interval
(1651.96* 7.5, 165 +1.96 * 7.5)?
3. Create a plot of probability density function (pdf) of the normal distribution.
4. Create a plot of cdf of the normal distribution.
5. Draw a random sample of size 1000 from the distribution. Plot a histogram and calculate the sample
mean and the sample variance. The sample mean and the sample variance are estimators of what
values?
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