1. You are asked to match three songs with the performers who made those songs famous. If you guess, the probability distribution for the number of correct matches is

Probability:- 0.503 / 0.228 / 0.034 / 0.235

Number of correct:- 0 / 1 / 2 / 3

What is the probability you will get:

a) Exactly one correct?

b) At least one correct?

c) Exactly two correct?

d) Compute the mean, variance and standard deviation of this distribution.

Mean :-

Variance:-

Standard deviation:-

2. In a binomial distribution n= 9 and p= 0.15. Find the probabilities of the following events.

a) x=2

Probability=

b) x2 ( the probability that x is equal to or less than 2)

Probability =

c) x 3 ( the probability that x is equal to or greater than 3)

Probability =

( required explanation for the Answers)