1- i- If X is a Bernoulli random variable with P = 0.4

Find P(X less than1) ii- If X =(x1,x2,..., x4) is a random sample with size 4 taken from

4 Bernoulli(0.2), Find P (summation xi , less 4,i=1,2,3,4)

2- i- If X is a Binomial random variable with m= 2 and P = 0.3

Find P(X = 2) ii- If X =(x1,x2,..., x5) is a random sample with size 5 taken from

5 Binomial( 2 , 0.25 ) , Find P(summationxi, more than or equal 6,i=1,2,3,4,5)

3- i- If X is a Poisson random variable with = 2.5

Find P(X greater or equal1) ii- If X =(x1,x2,..., x6) is a random sample with size 6 taken from

6 Poisson(1.5) , Find P( summation xi greater 5,i=1...,6)

4- If X is a Geometric random variable with P = 0.4

Find i- , P(X less than 4) ii- If X =(x1,x2,x3) is a random sample with size 3 taken from

3 Geometric(0.3) , Find P(summation xi greater than or equal 4 ,i=1..3)

5- If X is a Negative Binomial random variable with r = 5 and P = 0.3

Find i- P(X greater than 6) ii- If X =(x1,x2,x3) is a random sample with size 3 taken from

3 Negative Binomial (4,0.15) , Find P(summation xi less than 13 ,i=1..3)

6- i- If X is a chi- square random variable with degrees of freedom 6

Find P(X greater than 3) and k such that P(X greater than k) = 0.25 ii- If X =(x1,x2,..., x5) is a random 5

sample with size 5 taken from N( 0 , 2 ) , Find P(summation xi^2 greater than 8.7 ,i=1...5)

7- i- If X is a normal random variable with = 3 and = 5

Find P(X greater than 2) ii- If X =(x1,x2,..., x4) is a random sample with size 4 taken from

4

N ( 3 , 9 ), Find P(2summation xi less than 5 ,i=1..4)

8- If X is a F( 5 , 9 ) random variable , Find

i- P(X less than4), P(X greater than5)

ii- C if P(X less than C)=0.995