Q1)  If X and Y are any arbitrary variables with E(X) = 5, E(Y) = 6, E(XY) = 21, Var(X) = 9 and Var(Y) = 10, then relationship between X and Y is a :

a) Strong positive relationship.

b) Strong negative relationship.

c) Weak positive relationship.

d) Weak negative relationship

Q2)  Which of the given identities is true If X and Y are independent random variables?

a) E(2X+3Y) = E(X) + E(Y) + 5

b) Var(2X+3Y) =2Var(X) + 3Var(Y)

c) Var(2X+3Y) = 4Var(X) + 9Var(Y)

d) E(2X+3Y) = 5E(X+Y)

Q3) If X and Y are independent random variables, which of the given identities is not true?

a) Cov(X, Y) = 1

b) Cov(X, Y) = 0

c) E(X + Y) = E(X) + E(Y)

d) Var(X - Y) = Var(X) + Var(Y)

Q4) In a box of 16 chocolates, there are 4 chocolates with coconut filling.  Determine the probability of selecting 4 chocolates, one or more of which have coconut filling?

Q5) 30 percent of all households have DVD player.  Assume you choose 20 houses at random.  On average, how many houses of twenty would you expect to have DVD? Determine standard deviation of number of houses with DVD?

Q6)  In class of 18 students, there are 7 males and 11 females.  Sub-committee of five students will be formed from this class.  Determine the probability that sub-committee contains more males than females?