Question

A factory has in it four machines, A, B, C, and D that produce Smart Pencils.

Machine A produces 40% of the factory's output with a 6% defective rate.

Machine B produces 30% of the factory's output with a 5% defective rate.

Machine C produces 20% of the factory's output with a 4% defective rate.

Machine D produces 10% of the factory's output with a 3% defective rate.

A pencil is selected at random and found to be defective. What is the probability it was produced by Machine D?

Write this probability as a 2-place decimal.

(Hint: Your computation should give you a number with exactly 2 decimal places. If this problem had asked for the probability that the defective pencil came from Machine A, the correct answer would have been the 2-decimal place number 0.48.)

Answer #1

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machines, A, B and C. Of the total output, machine A is responsible
for 25%, machine B for 35% and machine C for the rest. It is known
from previous experience with the machines that 5% of the output
from machine A, 4% from machine B and 2% from machine C is
defective. A bolt is chosen at random from the production line and
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A factory production line is manufacturing bolts using three
machines, A, B and C. Of the total output, machine A is responsible
for 25%, machine B for 35% and machine C for the rest. It is known
from previous experience with the machines that 5% of the output
from machine A, 4% from machine B and 2% from machine C is
defective. A bolt is chosen at random from the production line and
found to be non - defective. What is...

A factory production line makes widgets using two machines, A
and B. Of the total output, machine A is responsible for 45%and
machine B for 55%. It is known from previous experience with the
machines that 5% of the output from machine A is defective and 2%
from machine B is defective. A widget is chosen at random from the
production line and found to be defective. What is the probability
that it came from machine A. Give your answer...

A factory manufactures machines. Each machine is defective with
probability 1/100, independently.
The machines get numbered 1, 2, . . . as they’re produced
(a) Out of machines 1, . . . , 1000, what is the probability that
none are defective?
(b) Out of machines 1, . . . , 1000, what is the probability that
two or fewer are defective? (
c) Out of machines 1, . . . , 1000, what is the probability that
exactly ten...

Factories A, B and C produce computers. Factory A produces 2
times as many computers as factory C, and factory B produces 5
times as many computers as factory C. The probability that a
computer produced by factory A is defective is 0.016, the
probability that a computer produced by factory B is defective is
0.031, and the probability that a computer produced by factory C is
defective is 0.052.
A computer is selected at random and it is found...

Three machines turn out all the products in a factory, with the
first machine producing 15% of the products, the second machine
25%, and the third machine 60%. The first machine produces
defective products 20% of the time, the second machine 3% of the
time and the third machine 5% of the time. What is the probability
that a non-defective product came from the second machine? (Round
your answer to four decimal places.)

Three machines turn out all the products in a factory, with the
first machine producing 15% of the products, the second machine
25%, and the third machine 60%. The first machine produces
defective products 20% of the time, the second machine 3% of the
time and the third machine 5% of the time. What is the probability
that a non-defective product came from the second machine? (Round
your answer to four decimal places.)

A company has 2 machines that produce widgets. An older machine
produces 23% defective widgets, while the new machine produces only
8% defective widgets. In addition, the new machine produces 3 times
as many widgets as the older machine does. Given a randomly chosen
widget was tested and found to be defective, what is the
probability it was produced by the new machine?
Choose one answer.
a. 0.489
b. 0.15
c. 0.511
d. 0.08

Two machines turn out all the products in a factory, with the
first machine producing 60% of the product and the second 40%. The
first machine produces defective products 2% of the time and the
second machine 9% of the time. Given a defective product, what is
the probability it was produced on the first machine? (Round your
answer to four decimal places.)

A company has 2 machines that produce widgets. An older machine
produces 20% defective widgets, while the new machine produces only
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widgets in the company. Given a random chosen widget was tested and
found defective, what is the probability it was produced by the new
machine?(Hints: you may use a probability tree as assistance to
obtain the answer)
Select one:
0.526
0.095
0.045
0.474

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