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The probability of the number of defective circuit boards in a shipment is given in the tables for two different companies. Company A A 5-column table has 2 labeled rows. The first row is labeled Number defective (x) with entries 0, 1, 2, 3. The second row is labeled P (x i) with entries 0.21, 0.30, 0.41, 0.08. Company B A 5-column table has 2 labeled rows. The first row is labeled Number defective (x) with entries 0, 1, 2, 3. The second row is labeled P (x i) with entries 0.18, 0.32, 0.28, 0.22. What is the expected number of defective circuit boards for company A? What is the expected number of defective circuit boards for company B? Which company should be chosen for purchasing circuit boards? Explain.

Respuesta :

camwaza2

Answer: company A: 1.36

company B: 1.54 A; lowest expected number of defective boards

Step-by-step explanation:

i got it right on edge

The weighted average is a generalization of the expected value. The company that should be chosen for purchasing circuit boards is Company A.

What is the expected value?

The weighted average is a generalization of the expected value. The expected value is the arithmetic mean of a large number of independently chosen random variable outcomes.

A.) The expected number of defective circuit boards for company A is,

Expected number = (0.21×0) + (0.30×1) + (0.41×2) + (0.08×3) = 1.36

B.) The expected number of defective circuit boards for company B is,

Expected number = (0.18×0) + (0.32×1) + (0.28×2) + (0.22×3) = 1.54

C.) Since the expected number of defective circuit boards for Company A is less, therefore, the company that should be chosen for purchasing circuit boards is Company A.

Learn more about Expected value:

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