These are questions which must all be attempted and correct answers and explanations given.

1.Supposing that x and y are independent, determine whether there is truth in the statement E (XY)=E (X)E (Y).

2.Determine the standard deviation of runs scored by superman in a days matches that consists of results such as 70, 93, 50, 20, and 82.

3.Find the biggest integer that would satisfy (x²- 1)/(x - 2)(x - 3).

4.Determine the value of f(x) where f(x) = Ax²+ Bx + C = 0 and 2A, A + B, C are integers.

5.Given = {a, b, c, d}, determine the maximum sum of in and out degree over a given state in DFA.

6.Describe the equivalence of a DFA n states given to determine the maximum & minimum number in the final states of DFA.

7.Describe the meaning of both CMP and CMS, i.e. what they stand for.

8.Determine the truth value in a statement that states that the period of validity consists of the date on which the certificate expires.

9.Determine the plaintext using RSA where n equals 35, e equals 5 and C equals 10.

10. Determine the general equation for elliptic curve systems.