d. Create a plot of cdf of the normal distribution. e. Draw a random sample of size 1000 from the distribution. Plot a histogram and calculate the sam

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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just d and e please thank you :)

Q2.
Suppose heights of female (cm) is normally distributed as
N(u = 165, o2 = 7.52)
where the mean µ =
165 and the standard deviation o = 7.5. Do the followings with R:
a. What proportion of female is taller than 170cm?
b. What proportion of heights of female is in the interval
(165 – 1.96 * 7.5, 165 + 1.96 * 7.5)?
c. Create a plot of probability density function (pdf) of the normal distribution.
d. Create a plot of cdf of the normal distribution.
e. 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 female (cm) is normally distributed as N(u = 165, o2 = 7.52) where the mean µ = 165 and the standard deviation o = 7.5. Do the followings with R: a. What proportion of female is taller than 170cm? b. What proportion of heights of female is in the interval (165 – 1.96 * 7.5, 165 + 1.96 * 7.5)? c. Create a plot of probability density function (pdf) of the normal distribution. d. Create a plot of cdf of the normal distribution. e. 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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