Mathematics
Mathematics, 17.02.2022 14:00, lks715

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? i. Every shipment of 25 bowls will have 23.75 undamaged bowls
ii. Every shipment of 25 bowls will have 23.75 damaged bowls
iii. On average, the company receives 23.75 shipments before receiving the first shipment with a damaged bowl.
iv. For all possible shipments of 25, the average number of damaged shipments is equal to 23.75
v. For all possible shipments of size 25, the average number of undamaged shipments is equal to 23.75.

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