A small tool-and-die shop manufactures kneuter valves. A shipment of 15 valves to a Swedish automobile assembly plant contains three defective values. Suppose the assembly plant randomly selects four valves from the shipment.

a. What is the probability that all four valves will be defect-free?

b. What is the probability that the plant will select all three defectives?

c. What is the probability that the plant will select at least one defective?

a) 0.48

b) 0.0329

c) 0.625

Step-by-step explanation:

Let the number of the valves be = 15

The probability of the valves being faulty, P(B) =

the probability that a valve is in good condition, P(G) =

a) probability valves are defective-free P(GGGG)

b) probability the three will be defective  = P (BBB)

                                                                    =

c) P (at least one defective) = 0.625

step-by-step explanation:

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