Suppose that you are flipping 5 biased coins independently from one another. Theprobability of a coin landing HEAD is 0.6, and the probability of a coin landing TAILis 0.4. (a) What is the probability that your ve tosses result in HTHTH, in that specificorder? (b) How many ways are there to land 3 H's and 2 T's? For example, one way is tohave HTHTH, i.e. first coin lands H, second coin lands T, etc. Please list allpossibilities. (c) What is the probability that your five tosses result in 3 H's and 2 T's? (d) Suppose that you are flipping n biased coins independently from one another. The probability of a coin landing HEAD is p, and the probability of a coin landingTAIL is 1 - p. What is the probability that you land k H's and (n - k) T's? (e) Let the random variable X denote the number of H's you will get in n coinflips, where the probability of landing H is p. X is known as a binomial random variable,and is often denoted as X ~ Bin(n, p). Find E[X] and Var[X].