7
QuizMultiple Choice

Binomial Random Variables

Question 7 • College Prep Math B - IC26

A produce manufacturer fills bags of baby carrots by weight. Each bag is supposed to have 12 ounces of baby carrots. Unfortunately, 3% of the baby carrots are discolored. Let X represent the number of discolored baby carrots in a bag.Are the conditions for a binomial setting in this scenario met?

Answer
A
No, there is no fixed number of baby carrots.
B
Yes, all four conditions in BINS have been met.
C
No, we are sampling the carrots without replacement.
D
No, 3% is a very small probability, so we should not carry out a binomial procedure.

Explanation

A binomial setting needs a fixed number of trials, with each trial having two outcomes and the same probability of success, and the trials must be independent. The bags are filled by weight, so the number of individual carrots in a 12-ounce bag is not fixed. Therefore, the fixed-trials condition is not met, making choice A correct.

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