Question Four: The lifetime, Y, (in hours] of a new system follows the following distribution (3+1) ) ,for y :> 1 and f(yI9)=9( To make an inference about 3, 10 randomly selected systems were tested with the following results 15.8, 3.9, 11.4, 14.6, 19.4, 12.4, 41.8, 7.9, 39.3, 5.4 Make inference about 9 (report posterior mean, posterior standard deviation, and the 95% credible interval] assuming a non-informative prior. Make inference about {F 6/09 1) (report posterior mean, posterior standard deviation, and the 95% credible interval] assuming a non-informative prior