1. A machine produces 15% defective components. In a sample of 5, drawn at random, calculate, using the binomial distribution, the probability that: (a) there will be 4 defective items (b) there will be not more than 3 defective items (c) all the items will be non-defective Draw a histogram showing the probabilities of 0, 1, 2, ..., 5 defective items. (20)

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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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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1. A machine produces 15% defective components.
In a sample of 5, drawn at random, calculate,
using the binomial distribution, the probability
that:
(a) there will be 4 defective items
(b) there will be not more than 3 defective items
(c) all the items will be non-defective
Draw a histogram showing the probabilities of
0, 1, 2, ..., 5 defective items.
(20)
Transcribed Image Text:1. A machine produces 15% defective components. In a sample of 5, drawn at random, calculate, using the binomial distribution, the probability that: (a) there will be 4 defective items (b) there will be not more than 3 defective items (c) all the items will be non-defective Draw a histogram showing the probabilities of 0, 1, 2, ..., 5 defective items. (20)
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