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1. Let X, X, and X represent the times necessary to perform successive repair tasks at a certain service facility. Suppose they are independent, normal random variables with expected values p4-14 t4-60 and ?_?? ?? 15. Consider the probability a. (10 pts. 2+ 3+2+3). Is the random variable T- X5 X2-.5x, normal? Why? Calculate its expectation and variance. DAT b. (6 pts.) Calculate the desired probability.

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