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4. The PDF of 2 independent r.v A and B are shown below. fa(@) fB(B) 1/2 1/2 -2 -1 y Suppose C = A +B. Find the probability density value at c=0, fz(0)

4. The PDF of 2 independent r.v A and B are shown below. fa(@) fB(B) 1/2 1/2 -2 -1 y Suppose C = A +B. Find the probability density value at c=0, fz(0)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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4. The PDF of 2 independent r.v A and B are shown below. fA(a) fB(B) 1/2 1/2 1 -1 y Suppose C = A + B. Find the probability density value at c=0, fz(0) 5. A dealer produces A, parts on day x, where A, are independent and identically distributed r.v with variance 9 and mean 6. Let B, be the total no. of parts produced from day 1 to day x. Using central limit theorem, find the total no. of parts, c, the dealer can assure to make by day 50 with at least 99.9% certainty, i.e. find the maximum value of c so that P(S50 2 c) > 0.999.
Transcribed Image Text:4. The PDF of 2 independent r.v A and B are shown below. fA(a) fB(B) 1/2 1/2 1 -1 y Suppose C = A + B. Find the probability density value at c=0, fz(0) 5. A dealer produces A, parts on day x, where A, are independent and identically distributed r.v with variance 9 and mean 6. Let B, be the total no. of parts produced from day 1 to day x. Using central limit theorem, find the total no. of parts, c, the dealer can assure to make by day 50 with at least 99.9% certainty, i.e. find the maximum value of c so that P(S50 2 c) > 0.999.
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