A jewelry supplier has a supply of earrings which are 10% platinum. A store owner orders five sets of earrings from the supplier. If the supplier selects the pairs of earrings at random, what is the chance that the jewelry store gets exactly two sets of platinum pairs?

Question

Quizplus · Accepted Answer

We can use the Binomial Distribution formula to solve this problem:

P(X = 2) = (5 choose 2) * 0.1^2 * 0.9^3

where X is the number of sets of platinum pairs that the store gets.

Using a calculator, we can evaluate this expression as:

P(X = 2) = (5!/2!3!) * 0.01 * 0.729 = 0.0729

Therefore, the chance that the store gets exactly two sets of platinum pairs is 0.0729, which corresponds to choice C.

A Jewelry Supplier Has a Supply of Earrings Which Are