Let f be an rv that represents the operating temperature in fahrenheit of one instance of a manufacturing process, and let f ∼ n(90, 25). let c be an rv that represents the same process, but measured in celsius. fahrenheit can be converted to celsius using celsius = 5 9 (fahrenheit−32). (i would suggest doing these with a hand calculator and normal table as practice for exam conditions, but you may check your answers in r if you wish.) (a) find the probability that one randomly selected instance of the process will have operating temperature greater than 93.8 fahrenheit. (b) find the distribution of c. the distribution will consist of the ’family’ of distribution (for example, bernoulli, binomial, normal, etc.) plus the relevant parameters associated with that family (π for a bernoulli, n and π for a binomial, µ and σ 2 for a normal, (c) find the probability that one randomly selected instance of the process will have operating temperature below 29 celsius