Question

1. Given a discrete random variable, X , where the discrete probability distribution for X is given on right, calculate E(X)

X	P(X)
0	0.1
1	0.1
2	0.1
3	0.4
4	0.1
5	0.2

2. Given a discrete random variable, X , where the discrete probability distribution for X is given on right, calculate the variance of X

X	P(X)
0	0.1
1	0.1
2	0.1
3	0.4
4	0.1
5	0.2

3. Given a discrete random variable, X , where the discrete probability distribution for X is given on right, calculate the standard Deviation of X

X	P(X)
0	0.1
1	0.1
2	0.1
3	0.4
4	0.1
5	0.2

4. Given 2 independent and not mutually exclusive events, A and B, with probabilities given on the right, calculate the probability that A and B occurs.

P(A) =	0.3
P(B) =	0.8
P(A/B)=	0.3
P(B/A)=	0.8

5. Given 2 events, A and B, with probabilities given on the right, calculate the probability that A and B occurs. Events A and B are not independent and also not mutually exclusive

P(A)=	0.800
P(B)=	0.600
P(A/B)=	0.833
P(B/A)=	0.625

6. Given 2 events, A and B, that are independent and not mutually exclusive with probabilities given on the right, calculate the probability that A or B occurs.

P(A)=	0.8
P(B)=	0.3

7. Given 2 events, A and B, that are not independent but mutually exclusive with probabilities given on the right, calculate the probability that A or B occurs.

P(A)=	0.5
P(B)=	0.1

8. Given a binomial random variable, X = # successes, where the sample size (n) and the probability of a success (p) are given on right, calculate P(X < a) where "a" is given on the right.

n =	20
p =	0.3
a =	2

9. Given a binomial random variable, X = # successes, where the sample size (n) and the probability of a success (p) are given on right, calculate P(X > a) where "a" is given on the right.

n =	20
p =	0.2
a =	7

10. Given a binomial random variable, X = # successes, where the sample size (n) and probability of a success (p) are given on right, calculate P(a < X < b) where "a" and "b" are given on the right.

n =	20
p =	0.2
a =	5
b =	7

Answer 1