A bin of 50 manufactured part contains 3 defective parts and 47 non-defective parts. A sample of 6 parts is selected without replacement. That is, each part can be selected only once, and the sample is a subset of the 50 parts. a) How many different samples are there of size 6 that contain exactly 2 defective parts? b) What is the probability that exactly 2 defective parts are selected in the sample?
A bin of 50 manufactured part contains 3 defective parts and 47 non-defective parts. A sample of 6 parts is selected without replacement. That is, each part can be selected only once, and the sample is a subset of the 50 parts. a) How many different samples are there of size 6 that contain exactly 2 defective parts? b) What is the probability that exactly 2 defective parts are selected in the sample?
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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A bin of 50 manufactured part contains 3 defective parts and 47 non-defective parts. A sample of 6 parts is selected without replacement. That is, each part can be selected only once, and the sample is a subset of the 50 parts.
a) How many different samples are there of size 6 that contain exactly 2 defective parts?
b) What is the probability that exactly 2 defective parts are selected in the sample?
Please answer it with proper formula and solution, thank you.
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