A biased die with five faces is rolled. The discrete random variable Y represents the score which is uppermost. The probability mass function of Y is shown in the table below. y 1 2 3 4 5 F(y) 1/10 2/10 1/5 3k k a. Find the value of k. Update the probability mass function of Y given the value of k. b. Find the E(X). c. Find the Var(X).

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A biased die with five faces is rolled. The discrete random variable Y represents the score which is uppermost. The probability mass function of Y is shown in the table below.

y 1 2 3 4 5
F(y) 1/10 2/10 1/5 3k k

a. Find the value of k. Update the probability mass function of Y given the value of k.
b. Find the E(X).
c. Find the Var(X).

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