A game consists of tossing a dart at a dartboard 3 times. A players estimates that the probability the he will hit the bull’s eye is 1/3. The random variable X is the number of times the player will hit the bull’s eye in the three tosses of the dart.

Calculate
P(x=2)
Construct a probability distribution table for x
Evaluate E( x)

A random variable Y is such that E(y)= 3.8 and Var(y)= 2.16
Calculate E( 3y +2)
Var( 3y+ 2)