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Q1 (Unit 4 Concept) . Safety First through Statistics 6 Points Suppose the strength of a particular metal beam is given by, S = 5+272 . P Where T is a random variable representing the forging temperature and P is a random variable representing purity. Suppose the following statements are true about these random variables T ~ Uniform(min = 0, max = 2) P given T ~~ Normal(u = T/2,0 = T/12) This means that if 7' = 1, the following is true: EPT = 1 = 191k o[PIT = 1] = VV[PIT = 1] = 12 Q1.1 Compute the expectation of S 6 Points