The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a mean of 0.011 failures per hour. (a) What is the probability that the instrument does not fail in an 8-hour shift? (b) What is the probability of at least 1 failure in a 24-hour day? Round your answers to four decimal places (e.g. 98.7654). (a) The probability is (b) The probability is The analysis of 200 shafts for a compressor is summarized by conformance to specifications. (a) If a shaft is selected at random, what is the probability that the shaft conforms to surface finish requirements? Input your answer in the fractional form. (b) What is the probability that the selected shaft conforms to surface finish requirements or to roundness requirements? Input your answer in the fractional form. (c) What is the probability that the selected shaft either conforms to surface finish requirements or does not conform to roundness requirements? Input your answer in the fractional form. (d) What is the probability that the selected shaft conforms to both surface finish and roundness requirements? Input your answer in the fractional form