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3. Suppose a certain kind of device is known to have lifetime (in hours) that is described by a lognormal distribution with parameters u= 12

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3. Suppose a certain kind of device is known to have lifetime (in hours) that is described by a lognormal distribution with parameters u= 12 and o=0.15. a. Find the probability that a randomly selected device will fail before 150000 hours of operation. b. Find the 5th percentile of device lifetime. c. Find the median device lifetime. d. Calculate and plot the PDF, CDF, RF, HF, and CHF over a range of [0, 300000) hours. Discuss the practical interpretation of each function

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