Let A1, A2, A3, and A4 = the weight of dumbells at lifetime. Suppose they are independent normal variables with the following means: mean1 = 8.2lbs, mean2 = 6.6lbs, mean3 = 3.5lbs, and mean4 = 8.1lbs; and the following variances: shown in picture below. Find P(1A1 +  2A2  +  1A3. + 3A4 ≤ 35.7)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Let A1, A2, A3, and A4 = the weight of dumbells at lifetime. Suppose they are independent normal variables with the following means: mean1 = 8.2lbs, mean2 = 6.6lbs, mean3 = 3.5lbs, and mean4 = 8.1lbs; and the following variances: shown in picture below. Find P(1A1 +  2A2  +  1A3. + 3A≤ 35.7)

 

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