A radio takes anywhere from 10 to 20 seconds to receive a signal. Let's call G the completion time for the retrieval and assume that G has a uniform distribution over the interval [10,20] seconds.
(a) Give the pdf, cdf, and expected value for G.
(b) Two such retrievals are performed independently with completion times G1 and G2. What is the joint pdf and joint cumulative probability of G1 and G2? What is the probability that both retrieval times will be less than 12 seconds?