A particular coin is biased. Each time it is flipped, the probability of getting a head is P(H) = 0.7. Each flip is independent of the other flips. a) In a game, the coin is flipped 10 times. Let X be the total number of times the coin shows a head out of 10 flips. Calculate the following probabilities: i) What is the probability of getting exactly 4 heads? (Enter your answer correct to 3 decimal places.) ii) What is the probability of getting more than 4 heads? (Enter your answer correct to 3 decimal places.) b) Compute the expected value of X. MX = (Enter the exact value) c) Compute the variance of X. 2 X (Enter the exact value)