Answer:
Step-by-step explanation:
Given that:
X(t) = be the number of customers that have arrived up to time t.
... = the successive arrival times of the customers.
(a)
Then; we can Determine the conditional mean E[W1|X(t)=2] as follows;
Now
(b) We can Determine the conditional mean E[W3|X(t)=5] as follows;
Now;
(c) Determine the conditional probability density function for W2, given that X(t)=5.
So ; the conditional probability density function of given that X(t)=5 is: