Question 1: A continuous random variable has the function, Find i.The value of the constant ii.P(0.5 3) ii.P(X=2) iii.P(|X| <1.5) iv.P(1 1.25) Question 3: i.Find

Question 1:

A continuous random variable has the function,

Find

i.The value of the constant

ii.P(0.5

Question2:

A continuous random variable X has the probability density function:

Compute

i.P(X>3)

ii.P(X=2)

iii.P(|X|<1.5)

iv.P(1

v.P(|X|>1.25)

Question 3:

i.Find the probability distribution of the sum of the dots when two fair dice are thrown.

ii.Use the probability distribution to find the probabilities of obtaining,

a)A sum of 8 or 11

b)A sum that is greater than 8

c)A sum that is greater than 5 but less than or equal to 10.