3. A quality engineer exams a batch of manufactured parts. Each part has a probability of 0.9 to pass the exam and 0.1 to fail the exam. (a) What is the probability of only 1 part out of 5 parts passing the exam? (b) What is the probability distribution of n parts out of 5 parts passing the exam? Please write down the pmf and cdf of the distribution. (c) What is the average number of passing parts out of every 10 parts?
3. A quality engineer exams a batch of manufactured parts. Each part has a probability of 0.9 to pass the exam and 0.1 to fail the exam. (a) What is the probability of only 1 part out of 5 parts passing the exam? (b) What is the probability distribution of n parts out of 5 parts passing the exam? Please write down the pmf and cdf of the distribution. (c) What is the average number of passing parts out of every 10 parts?
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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Transcribed Image Text:3. A quality engineer exams a batch of manufactured parts. Each part has a probability of 0.9 to pass the exam
and 0.1 to fail the exam.
(a) What is the probability of only 1 part out of 5 parts passing the exam?
(b) What is the probability distribution of n parts out of 5 parts passing the exam? Please write down the pmf
and cdf of the distribution.
(c) What is the average number of passing parts out of every 10 parts?
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