13. Let X equal the number of widgets that are defective when 3 widgets are randomly chosen and observed. The possible values for X are {0,1,2,3}. The probability Mass Function for X, Compute for Cumulative Distribution Function PMF ANSWER: CDF P (X = x) or f(x) P(X < x) = F(x) P(< 0) = F(0) P(< 1) = F(1) P(< 2) = F(2) P(< 3) = F(3) 0.550 1 0.250 2 0.175 3 0.025

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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13. Let X equal the number of widgets that are defective when 3 widgets are randomly chosen and observed. The
possible values for X are {0,1,2,3}. The probability Mass Function for X, Compute for Cumulative Distribution
Function
PMF
ANSWER:
CDF
P (X = x) or f(x)
P(X < x) = F(x)
P(< 0) = F(0)
P(< 1) = F(1)
P(S 2) = F(2)
P(< 3) = F(3)
0.550
1
0.250
2
0.175
3
0.025
Transcribed Image Text:13. Let X equal the number of widgets that are defective when 3 widgets are randomly chosen and observed. The possible values for X are {0,1,2,3}. The probability Mass Function for X, Compute for Cumulative Distribution Function PMF ANSWER: CDF P (X = x) or f(x) P(X < x) = F(x) P(< 0) = F(0) P(< 1) = F(1) P(S 2) = F(2) P(< 3) = F(3) 0.550 1 0.250 2 0.175 3 0.025
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