Computer keyboard failures can be attributed to electri- cal defects or mechanical defects. A repair facility cur- rently has 25 failed keyboards, 6 of which have electrical defects and 19 of which have mechanical defects. a. How many ways are there to randomly select 5 of these keyboards for a thorough inspection (without regard to order)? b. In how many ways can a sample of 5 keyboards be selected so that exactly two have an electrical defect? c. If a sample of 5 keyboards is randomly selected, what is the probability that at least 4 of these will have a mechanical defect?

Computer keyboard failures can be attributed to electri- cal defects or mechanical defects. A repair facility cur- rently has 25 failed keyboards, 6 of which have electrical defects and 19 of which have mechanical defects. a. How many ways are there to randomly select 5 of these keyboards for a thorough inspection (without regard to order)? b. In how many ways can a sample of 5 keyboards be selected so that exactly two have an electrical defect? c. If a sample of 5 keyboards is randomly selected, what is the probability that at least 4 of these will have a mechanical defect?

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Computer keyboard failures can be attributed to electri-
cal defects or mechanical defects. A repair facility cur-
rently has 25 failed keyboards, 6 of which have electrical
defects and 19 of which have mechanical defects.
a. How many ways are there to randomly select 5 of these
keyboards for a thorough inspection (without regard to
order)?
b. In how many ways can a sample of 5 keyboards be
selected so that exactly two have an electrical defect?
c. If a sample of 5 keyboards is randomly selected, what
is the probability that at least 4 of these will have a
mechanical defect?

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