50 of the above components sent off site to be painted on their return 4 of the components are found to be damaged. If eight components are drawn at random from the contents of the package determine the probabilities that in this sample (a) one and (b) fewer than three are damaged.
50 of the above components sent off site to be painted on their return 4 of the components are found to be damaged. If eight components are drawn at random from the contents of the package determine the probabilities that in this sample (a) one and (b) fewer than three are damaged.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
50 of the above components sent off site to be painted on their return 4 of the components are found to be damaged. If eight components are drawn at random from the contents of the package determine the probabilities that in this sample (a) one and (b) fewer than three are damaged.
Expert Solution
Step 1: Finding the probability that one component is damaged
We know that probability of an event is
Total number of components
Out of are damaged.
Therefore probability of drawing eight component in which is damaged is
Hence the probability of choosing defected components is
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