A manufactured lot of buggy whips has 15 items, of which 5 are defective. A random sample of 3 items is chosen to be inspected. Find the probability (to at least 4 decimal places) that the sample contains exactly 1 defective item: (a) if the sampling is done with replacement (the inspector takes an item and puts it back each time). (b) if the sampling is done without replacement (so the inspector takes a subset of 3 items at once).
A manufactured lot of buggy whips has 15 items, of which 5 are defective. A random sample of 3 items is chosen to be inspected. Find the probability (to at least 4 decimal places) that the sample contains exactly 1 defective item: (a) if the sampling is done with replacement (the inspector takes an item and puts it back each time). (b) if the sampling is done without replacement (so the inspector takes a subset of 3 items at once).
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:A manufactured lot of buggy whips has 15 items, of which 5 are defective. A random sample of 3 items is chosen to
be inspected.
Find the probability (to at least 4 decimal places) that the sample contains exactly 1 defective item:
(a) if the sampling is done with replacement (the inspector takes an item and puts it back each time).
(b) if the sampling is done without replacement (so the inspector takes a subset of 3 items at once).
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VIEWStep 3: Calculate probability of the sample contains exactly one item with replacement
VIEWStep 4: Determine distribution when sampling done with out replacement
VIEWStep 5: Calculate probability of the sample contains exactly one item without replacement
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