5. The probability distribution of X, the number of imperfections per 10 meters of a synthetic fabric in continuous rolls of uniform width is given by: (a) Construct the cumulative distribution function of X using a graph. (b) Find the cumulative distribution function of the random variable X representing the number of defectives. Then using F(x), find: b.1) P (X = 1) b.2) P (0 < Xs 2)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Question

ME 5

5. The probability distribution of X, the number of imperfections per 10 meters of a synthetic fabric in continuous rolls of
uniform width is given by:
(a) Construct the cumulative distribution function of X using a graph.
(b) Find the cumulative distribution function of the random variable X representing the number of
defectives. Then using F(x), find: b.1) P ( X = 1) b.2) P (0 < X< 2)
Transcribed Image Text:5. The probability distribution of X, the number of imperfections per 10 meters of a synthetic fabric in continuous rolls of uniform width is given by: (a) Construct the cumulative distribution function of X using a graph. (b) Find the cumulative distribution function of the random variable X representing the number of defectives. Then using F(x), find: b.1) P ( X = 1) b.2) P (0 < X< 2)
1
3
4
f(T)
0.41
0.37
0.16
0.05
0.01
Transcribed Image Text:1 3 4 f(T) 0.41 0.37 0.16 0.05 0.01
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