The probability of the number of defective circuit boards in a shipment is given in the tables for two different companies.

company a

company b

what is the expected number of defective circuit boards for company a?
b.) 1.36

what is the expected number of defective circuit boards for company b?
c.) 1.54

which company should be chosen for purchasing circuit boards? explain.
a.) a; lowest expected number of defective boards

Expected_A  = 1.36

Expected_B  = 1.54

Company A, as it has the lowest expected number of defective boards

Step-by-step explanation:

What is the expected number of defective circuit boards for company A?

To obtain this value, we multiply the probabilities of each, per the number of defective circuit boards

Expected_A = 0*(0.21) + 1*(0.3) + 2*(0.41) + 3*(0.08)

Expected_A  = 1.36

What is the expected number of defective circuit boards for company B?

Expected_B = 0*(0.18) + 1*(0.32) + 2*(0.28) + 3*(0.22)

Expected_B  = 1.54

Which company should be chosen for purchasing circuit boards?

Company A, as it has the lowest expected number of defective boards

-14 is the answer

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