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Suppose heights of female (cm) is normally distributed as N(µ = 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? 6. 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.

Suppose heights of female (cm) is normally distributed as N(µ = 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? 6. 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.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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just a b and c please thank you so much

 

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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