The probability that a high school student gets to class an time equals 0.68. The day of the week does not matter. Suppose we randomiy select 60 high school students and lock to see how many of them got to school on time on Monday. Let X be the total number of the selected students who got to school on time. Do the ealculations below using R. a. What type of probability distribution does x have? binomial norma: Poisson Bernoutii geometric negative binomial b. What is the probability x=36? (i.e. exactly 36 students got to school on time.) c. What is the probability that x36 ? d. What is the probability that x>36 e. Using R 's qbinam() function calculate the 60 th percentile of x ? t. What is the expected value of X ? 9. What is the variance of X ? h. What is the standard deviation of X ?? 1. What is the variance of the random variable Y=3X ? ous ora unair a frrint in the box below