2. A box contains 12 red and 8 green balls. Five balls are selected at random with replacement until all five balls are red. (a) On one trial, what is the probability you would get all red? (b) What is the expected number of trials needed to get all red for the first time. (c) What is the standard deviation of the number of trials needed to get all red for the first time.Complete the following questions using R. See page 2 for how to submit. 1. Suppose that 10% of people that take a particular medication experience negative side effects. If 1000 random patients, who are taking this medication, are selected (assume independence), answer the following: (a) What is the expected number of patients that will experience side effects. Use the definition of the mean of a random variable: # = = P[X - -]. (b) What is the standard deviation of the number of patients that will experience side effects. Use the definition of the variance of a random variable: of = > (2 - p)-P(X - =]. (c) What is the probability that at most 100 patients will experience side effects. (d) Using a normal approximation, find the probability that at most 100 patients will experience side effects