Q2. Suppose heights of male (cm) is normally distributed as N(μ = 185, 0² = = 6.5²) where the mean = 185 and the standard deviation o= 6.5. Do the followings with R: 1. What proportion of males is taller than 180cm? 2. What proportion of heights of male is in the interval? 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
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ISBN:9781119256830
Author:Amos Gilat
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Please do the following questions with R. 

Q2.
Suppose heights of male (cm) is normally distributed as
N(μ = 185, 0² = 6.5²)
where the mean = 185 and the standard deviation o= 6.5. Do the followings with R:
1. What proportion of males is taller than 180cm?
2. What proportion of heights of male is in the interval?
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?
Transcribed Image Text:Q2. Suppose heights of male (cm) is normally distributed as N(μ = 185, 0² = 6.5²) where the mean = 185 and the standard deviation o= 6.5. Do the followings with R: 1. What proportion of males is taller than 180cm? 2. What proportion of heights of male is in the interval? 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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