Each of 12 refrigerators has been returned to a distributor because of an audible, high pitched oscillating noise when the refrigerators are running. Suppose that 7 of these refrigerators have defective compressors. Let X be the number in a sample of size 6 whose compressor is defective. 1.) Compute the probability exactly 4 refrigerators have defective compressors in this sample? 2.) Compute the probability at least 4 refrigerators in this sample have a defective compressor? 3.) Compute the average number of refrigerators in a sample of size six with a defective compressor? 4.) Compute the variance in the above experiment?

Each of 12 refrigerators has been returned to a distributor because of an audible, high pitched oscillating noise when the refrigerators are running. Suppose that 7 of these refrigerators have defective compressors. Let X be the number in a sample of size 6 whose compressor is defective. 1.) Compute the probability exactly 4 refrigerators have defective compressors in this sample? 2.) Compute the probability at least 4 refrigerators in this sample have a defective compressor? 3.) Compute the average number of refrigerators in a sample of size six with a defective compressor? 4.) Compute the variance in the above experiment?

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Description: Each of 12 refrigerators has been returned to a distributor because of an audible, high pitched oscillating noisewhen the refrigerators are running. Suppose that 7 of these refrigerators have defective compressors. Let Xbe the number in a sample of

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

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

Each of 12 refrigerators has been returned to a distributor because of an audible, high pitched oscillating noise
when the refrigerators are running. Suppose that 7 of these refrigerators have defective compressors. Let X
be the number in a sample of size 6 whose compressor is defective.
1.) Compute the probability exactly 4 refrigerators have defective compressors in this sample?
2.) Compute the probability at least 4 refrigerators in this sample have a defective compressor?
3.) Compute the average number of refrigerators in a sample of size six with a defective compressor?
4.) Compute the variance in the above experiment?

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