Use Bayes' rule to find the indicated probability.Quality Motors has three plants. Plant 1 produces 35% of the car output, plant 2 produces 20% and plant 3 produces the remaining 45%. One percent of the output of plant 1 is defective, 1.8% of the output of plant 2 is defective and 2% of the output of plant 3 is defective. The annual total production of Quality Motors is 1,000,000 cars. A car chosen at random from the annual output and is found defection. What is the probability that it came from plant 2?

A. 0.35
B. 0.559
C. 0.224
D. 0.217


Answer: C

Mathematics

You might also like to view...

In a certain city there is a river running through the middle of the city. There are three islands and seven bridges as shown in the figure below. Suppose that there is a crossing charge of $1.00 every time one crosses a bridge. A tourist wants to start on the North Bank, stroll across each of the bridges at least once, and return to her hotel on the North Bank at the end of the trip. What is the cheapest possible cost of such a trip?

A. $7 B. $14 C. $8 D. Such a trip is impossible. E. none of these

Mathematics

Solve. = 

A. 4
B. 14
C.
D. 3

Mathematics

Provide an appropriate response.Which of these is not an arithmetic sequence?

A. 1, 3, 5, 7
B. 3, 6, 12, 24
C. , 1, 
D. -5, 2, 9, 16

Mathematics

Provide an appropriate response.If a ? 0,  is called the reciprocal of a. Use this definition to express the reciprocal of  in the form 

Fill in the blank(s) with the appropriate word(s).

Mathematics