Question 5 A dishwasher has a mean lifetime of 12 years with an estimated standard deviation of 1.25 years. Assume the lifetime of a dishwasher is normally distributed. Round the probabilities to four decimal places. It is possible with rounding for a probability to be 0.0000. a) State the random variable. Select an answer b) Find the probability that a randomly selected dishwasher has a lifetime of 12.05 years or more. c) Find the probability that a randomly selected dishwasher has a lifetime of 14.25 years or less. d) Find the probability that a randomly selected dishwasher has a lifetime between 12.05 and 14.25 years. e) Find the probability that randomly selected dishwasher has a lifetime that is at most 8.875 years. f) Is a lifetime of 8.875 years unusually low for a randomly selected dishwasher? Why or why not? Select an answer g) What lifetime do 64% of all dishwashers have less than? Round your answer to two decimal places in the first box. Put the correct units in the second box