Truncated prior distribution
Can anyone show me how to set out this problem so i can tackle it myself?
Suppose that a random sample of size n = 100 from an exponential distribution with parameter is about to be collected. It is thought that a Ga(2, 2) prior distribution for is appropriate but, since it is believed that values of exceeding 6 are impossible, the prior distribution is truncated above 6.
Calculate the prior probability that exceeds 6 assuming the truncated prior distribution. What is the probability when the prior distribution is not truncated?