Question

A quality control inspector routinely takes random samples of 200 cans of fruit cocktail produced in a packing

plant and calculates the proportion of cans from each sample with at least 3 cherries. Suppose that 98% of
fruit cocktail cans produced in that packing plant contain at least 3 cherries
Which of the following distributions is the best approximation of the sampling distribution of p?
Each distribution uses the same scale.
Choose 1 answer:
0.98
0.98

Answer 1

The best approximation of the sampling distribution of p is a binomial distribution.

Step-by-step explanation:

The best approximation of the sampling distribution of p is a binomial distribution.

In this case, the quality control inspector is taking random samples of 200 cans of fruit cocktail. The proportion of cans with at least 3 cherries is being calculated. Since each can either contains at least 3 cherries (success) or does not (failure), it follows a binomial distribution.

The binomial distribution assumes that the probability of success (a can with at least 3 cherries) is constant and independent for each can. It also assumes that the sample size is fixed, which is the case here with the inspector always taking samples of 200 cans.

Answer 2

A

Step-by-step explanation:

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