Answer Happy

1. 5 points) Find the value of the standard normal random variable called o such that: 2. PES 20) =0,7404 2 P-2525:) = 0.761 c) P-2 5:5:) -0,4226 (4 points) Suppose that the time (in hours) required to repair a machine is an exponentially distributed random variable with parameter 1 = 0.4. What is (a) the probability that a repair takes less than 10 hours? (b) the conditional probability that a repair takes at least 8 hours, given that it takes more than 5 hours? Id PC: 22.) = 0.327 20 ( PC-:50) 03128 2 P-2.1 5:520) = 0.6133 4. 3. (4 points) A quiz consists of 10 multiple-choice questions, each with 6 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 60 %. P(pass) = (5 points) Suppose that the life distribution of an item has hazard rate function 2(1) = 4.2, 1 > 0. What is the probability that (a) the item survives to age 32 (b) the item's lifetime is between 0.5 and 32 (c) a 0.5-year-old item will survive to age 32