Question

consider the experiment consisting of 20 refrigerators that have been returned to a distributor because a defect in their compressor was alleged by their owners. suppose that 13 of these refrigerators actually have defective compressors. let x be the random variable defined on this experiment that computes the number of refrigerators with defective compressors in a sample of size 8 taken from the 20 that were returned to the distributor.

Answer 1

The subject of this question is Mathematics.

Step-by-step explanation:

The subject of this question is Mathematics. It involves the concept of a random variable in probability theory.

It looks like you're describing a binomial distribution problem. In this scenario:

The experiment involves 20 refrigerators.

The probability of success (a refrigerator having a defective compressor) is given as 13 out of 20.

The sample size is 8 refrigerators.

The random variable

X represents the number of refrigerators with defective compressors in a sample of size 8.

In binomial distribution notation, this can be expressed as:

This distribution will allow you to calculate probabilities such as the probability of exactly

k refrigerators having defective compressors in a sample of size 8, or the cumulative probability up to

k, etc. If you have a specific question or calculation you'd like to perform, feel free to ask!