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?