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A company that ships crystal bowls claims that bowls arrive undamaged in 95 percent of the shipments. Let the random variable G represent the number of shipments with undamaged bowls in 25 randomly selected shipments. Random variable G follows a binomial distribution with a mean of 23.75 shipments and a standard deviation of approximately 1.09 shipments. Which of the following is the best interpretation of the mean?

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Answer:

On average, the company receives 23.75 shipments before receiving the first shipment with a damaged bowl.

Explanation:

The best interpretation of the mean is that; For all possible shipments of size 25, the average number of undamaged shipments is equal to 23.75.

We are given;

sample size; n = 25 shipments

Sample mean; x' = 23.75 shipments

Standard deviation; σ = 1.09 shipments

Now, since the random variable G represents the number of shipments with undamaged bowls in the sample size of n = 25, it means;

we can conclude that for all possible with sample size of 25, the average number of undamaged shipments is an average of 23,75.

Read more about random binomial distribution at; https://brainly.com/question/15276168

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