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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

Respuesta :

MrRoyal

Answer:

[tex]Probability = 0.0355[/tex]

Step-by-step explanation:

Given

Stot A:

[tex]Sales = 45\%[/tex]

Defective = 3%

Store B

[tex]Sales = 55\%[/tex]

Defective = 4%

Required

Determine the probability a product received is defective.

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

[tex]Probability = P(Sales) * P(Defective)[/tex]

[tex]P_A = 45\% * 3\%[/tex]

Convert to decimals

[tex]P_A= 0.45 * 0.03[/tex]

[tex]P_A= 0.0135[/tex]  

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

[tex]P_B= 55\% * 4\%[/tex]

[tex]P_B= 0.55 * 0.04[/tex]

[tex]P_B= 0.022[/tex]

The product may come from either stores.

So, the probability of having a defective product is:

[tex]Probability = P_A + P_B[/tex]

[tex]Probability = 0.0135 + 0.022[/tex]

[tex]Probability = 0.0355[/tex]

SamuelPro

Answer:

Probability of 0.0355

Step-by-step explanation:

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