Discuss the below:
Q1. Suppose X1 and X2 are independent exp. random variables, each with mean data and y=X1 and X2. What is the moment generating function for the random variable y?
Which choice below is right:
1.) My = (1-t/beta)^-2
2.) My = (1-t/beta)^2
3.) My = (1-beta*t)^-2
4.) My = (1-beta*t)^2
Q2. Let X1 and X2 be two different random variables with Poissan's dist. with parameters mew(subscript1)=2 and mew(subscript 2)=3, respectively. Let random variable Y1=X1 +X2. The probability that X1 = 5 is:
1.) 0.0006
2.) 0.1755
3.) 0.0141
4.) 0.1606