Use Bayes' rule to find the indicated probability.Two shipments of components were received by a factory and stored in two separate bins. Shipment I has 2% of its contents defective, while shipment II has 5% of its contents defective. If it is equally likely an employee will go to either bin and select a component randomly, what is the probability that a defective component came from shipment II?

A. 0.714
B. 0.222
C. 0.5
D. 0.2


Answer: A

Mathematics

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A.
B.
C.
D.

Mathematics

Solve. Round your answer to the nearest tenth, if necessary.The formula P = 0.63x2 - 0.048x + 1 models the approximate population, P, in thousands, for a species of fish in a local pond, x years after 2010. During what year will the population reach 91.144 thousand fish?

A. 2022 B. 2024 C. 2021 D. 2023

Mathematics

Solve the problem.The accompanying tables represent a function f that converts seconds to hours and a function g that converts hours to days.Express (f -1?g -1)(x) symbolically.

A. (f -1?g -1)(x) = 
B. (f -1?g -1)(x) = 86,400x2
C. (f -1?g -1)(x) = 86,400x
D. (f -1?g -1)(x) = 

Mathematics

Evaluate the expression.P(6, 4)

A. 180 B. 30 C. 4 D. 360

Mathematics