In a certain manufacturing process, the (Fahrenheit) temperature never varies by more than 2o from 62o The temperature is, in fact, a random variable F with distribution (a) Find E (F) and V (F) (b) Define T F minus 62 Find E (T) and V (T), and compare these answers with those in part (a) (c) It is decided to report the temperature readings on a Celsius scale, that is, C (5 9)(F minus 32) What is the expected value and variance for the readings now Pr (1 10 2610 4 10 2610 610)

Question: In a certain manufacturing process, the (Fahrenheit) temperature never varies by more than 2o from 62o. The temperature is, in fact, a random variable F

In a certain manufacturing process, the (Fahrenheit) temperature never varies by more than 2o from 62o. The temperature is, in fact, a random variable F with distribution

(a) Find E (F) and V (F).
(b) Define T = F − 62. Find E (T) and V (T), and compare these answers with those in part (a).
(c) It is decided to report the temperature readings on a Celsius scale, that is, C = (5/9)(F − 32). What is the expected value and variance for the readings now?

Pr_ (1/10 2610 4/10 2610 610)

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