The probability mass function (PMF) for the random variable K is denoted as:

P_K(s) =

{1/4 for s = 0}

{1/3 for s = 1}

{1/6 for s = 2}

{y for s = 3}

{0 otherwise}

1) Determine the value of s

2) Determine the second moment of K, E(K²)

3) Determine the variance of K

4) Determine the value of the CDF for K evaluated at k = 2.5

5) Determine the probability that the random variable T = K²+1 is less than or equal to the value 3