A company that produces fine crystal knows from experience that 17% of its goblets have cosmetic flaws and must be classified as "seconds." (Round your answers to four decimal places.)(a)Among seven randomly selected goblets, how likely is it that only one is a second

0.3891 = 38.91% probability that only one is a second

Step-by-step explanation:

For each globet, there are only two possible outcoes. Either they have cosmetic flaws, or they do not. The probability of a goblet having a cosmetic flaw is independent of other globets. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

17% of its goblets have cosmetic flaws and must be classified as "seconds."

This means that

Among seven randomly selected goblets, how likely is it that only one is a second

This is P(X = 1) when n = 7. So

0.3891 = 38.91% probability that only one is a second

answer: i'm great at algebra

~coco

step-by-step explanation:

.25

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