A particular coin is biased. Each time it is flipped, the probability of a head is P (H) = 0.8 and the probability of a tail is P(T) : 0.2. Each flip is independent of the other flips. The coin is flipped twice. Let X be the total number of times the coin shows a head out of two flips. So the possible values of X are :0 = O, 1, or 2. a) How would we find P(X = 2) ? (Pick attrtghtanswers) o P(X = 2) = ()P(H)2(1 ~ Pup)?2 C] Type in Rstudio: choose(1, 1)* 0.8\"0 * 0.22 o P(X = 2) = ()P(H)1(1 ~ Pthrl (3 Type in Rstudio: choose(2, 2)* 0.8\"2 * 0.2\"0 Knowing that P(X = 1) = 0.32 and P(X = 2) = 0.64 , compute the following probabilities: P(X = O): @ (Enter the exact value) b) What is the probability that X 2 1? (Enter the exact value) c) Compute the expected value of X. \"X = @ (Enter the exact value) d) Compute the variance X. 2 0X = [Q (Enter the exact value) e) What is the name of the distribution that can be used to model X