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
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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...
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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?
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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