Suppose heights of male (cm) is normally distributed as N(=185,2=6.52) where the mean = 185 and...

 

Transcribed Image Text:

Suppose heights of male (cm) is normally distributed as N(=185,2=6.52) where the mean = 185 and the standard deviation = 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 (185 1.96 6.5, 185 + 1.96 * 6.5)? 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? Suppose heights of male (cm) is normally distributed as N(=185,2=6.52) where the mean = 185 and the standard deviation = 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 (185 1.96 6.5, 185 + 1.96 * 6.5)? 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?