a) A coin is tossed 4 times. Let X be the number of Heads on the...

a) A coin is tossed 4 times. Let X be the number of Heads on the first 3 tosses and Y be the number of Heads on the last three tossed. Find the joint probabilities pij = P(X = i, Y = j) for all relevant i and j. Find the marginal probabilities pi+ and p+j for all relevant i and j. b) Find the value of A that would make the function Af(x, y) a PDF. Where f(x, y) = 3 + x 2 − y 2 , for 1 ≤ x ≤ 3 and 0 ≤ y ≤ 1 0 otherwise

Expert Solution

As it hasn't been given that the coin is fair or not so we assume the probability of Heads on the coin to be =

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orchestra answered 1 year ago

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