The time between failures of a machine has an exponential distribution with parameter l. suppose that the prior distribution for λ is exponential with mean 100 hrs. two machines are observed, and the average time between failures is 1125 hrs. a) find the bayes estimate for λ. b) what proportion of the machines do you think will fail before 1000 hrs?

Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. which of these statements are true? check all that apply. there are 20c3 possible ways to choose three books to read. there are 5c3 possible ways to choose three mysteries to read. there are 15c3 possible ways to choose three books that are not all mysteries. the probability that mariah will choose 3 mysteries can be expressed as . the probability that mariah will not choose all mysteries can be expressed as 1 −