Let X1 and X2 be two independent random variables having Gaussian (normal) distribution with means E[X1] = 30 and E[X2] = 20. respectively, and Var[X1] =9 and Var[X2] = 16. respectively. Then the probability that X1- X2 assume values smaller than 15 (approx to the second digit after the dot) is equal to: a) 0.84 (b) 0.16 (c) 0.68

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Let X1 and X2 be two independent random variables having Gaussian (normal)
distribution with means E[X1] = 30 and E[X] = 20. respectively, and
Var[X1] = 9 and Var[X2] = 16. respectively. Then the probability that X – X2
assume values smaller than 15 (approx to the second digit after the dot) is equal to:
a) 0.84
(b) 0.16
(c) 0.68
Transcribed Image Text:Let X1 and X2 be two independent random variables having Gaussian (normal) distribution with means E[X1] = 30 and E[X] = 20. respectively, and Var[X1] = 9 and Var[X2] = 16. respectively. Then the probability that X – X2 assume values smaller than 15 (approx to the second digit after the dot) is equal to: a) 0.84 (b) 0.16 (c) 0.68
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