A bias coin is tossed four times. If probability of head in a single toss is 0.61, find the probability of

i. at most 1 head.

ii. at least 2 heads.

b. Suppose X is a binomial random variable with n = 10 and p = 0.5,find

i. mean and variance of X.

ii. P(X = 5).

iii. P(X <= 4).

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