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Alona [7]
3 years ago
5

Two stores sell a certain product. Store A has 45% of the sales, 3% of which are of defective items, and store B has 55% of the

sales, 4% of which are of defective items. The difference in defective rates is due to different levels of pre-sale checking of the product. A person receives one of this product as a gift. What is the probability it is defective
Mathematics
1 answer:
Mumz [18]3 years ago
4 0

Answer:

Probability = 0.0355

Step-by-step explanation:

Given

Stot A:

Sales = 45\%

Defective = 3%

Store B

Sales = 55\%

Defective = 4%

Required

Determine the probability a product received is defective.

First, we calculate the probability that the defective product is from store A

Probability = P(Sales) * P(Defective)

P_A = 45\% * 3\%

Convert to decimals

P_A= 0.45 * 0.03

P_A= 0.0135  

Next, we calculate the probability that the defective product is from store B

P_B= 55\% * 4\%

P_B= 0.55 * 0.04

P_B= 0.022

The product may come from either stores.

So, the probability of having a defective product is:

Probability = P_A + P_B

Probability = 0.0135 + 0.022

Probability = 0.0355

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