Homework Help is Here – Start Your Trial Now!
Math
Probability
2. Here are the historical probabilities p(x) = P(X=x) that a fixed length of cast-iron piping will be manufactured and be found, on inspection, to have various numbers X of potentially weakening defects: p(x) F(x) 0 .45 1 .21 2 .13 3 .12 4 .09 a) Create a table of the cumulative distribution function F(x) = P(X≤x) for this random variable. Use the function F(x) to find the probability will have some defects but no more than 3 defects. b) Calculate the expected number of defects in a pipe E(X).

2. Here are the historical probabilities p(x) = P(X=x) that a fixed length of cast-iron piping will be manufactured and be found, on inspection, to have various numbers X of potentially weakening defects: p(x) F(x) 0 .45 1 .21 2 .13 3 .12 4 .09 a) Create a table of the cumulative distribution function F(x) = P(X≤x) for this random variable. Use the function F(x) to find the probability will have some defects but no more than 3 defects. b) Calculate the expected number of defects in a pipe E(X).

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...
See similar textbooks
icon
Related questions
Question

Explain the steps if you can 

2. Here are the historical probabilities p(x) = P(X=x) that a fixed length of cast-iron piping will be manufactured and be found, on inspection, to have various numbers X of potentially weakening defects: p(x) F(x) 0 .45 1 .21 2 .13 3 .12 4 .09 a) Create a table of the cumulative distribution function F(x) = P(X≤x) for this random variable. Use the function F(x) to find the probability will have some defects but no more than 3 defects. b) Calculate the expected number of defects in a pipe E(X).
Transcribed Image Text:2. Here are the historical probabilities p(x) = P(X=x) that a fixed length of cast-iron piping will be manufactured and be found, on inspection, to have various numbers X of potentially weakening defects: p(x) F(x) 0 .45 1 .21 2 .13 3 .12 4 .09 a) Create a table of the cumulative distribution function F(x) = P(X≤x) for this random variable. Use the function F(x) to find the probability will have some defects but no more than 3 defects. b) Calculate the expected number of defects in a pipe E(X).
Expert Solution
steps

Step by step

Solved in 1 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON
SEE MORE TEXTBOOKS