Question

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 to 3 decimal places.

Answer #1

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...

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 company has 2 machines that produce widgets. An older machine
produces 20% defective widgets, while the new machine produces only
6% defective widgets. In addition, the new machine produces 75% of
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

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

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...

In a factory, machine X produces 66 % of the daily output,
machine Y produces 11 % of the daily output and machine Z produces
23 % of the daily output. It is known that 9 % of machine X's
output is defective, 8 % of machine Y's output is defective and 7 %
of machine Z's output is defective. One day, an item was inspected
at random and found to be defective.
1. What is the probability that it...

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.)

the distribution of weights for widgets produced by a
new machine is normal with a mean of 10 oz and a standard deviation
of 2oz
a. what is the probability that one widget choosen at random from a
days production will weigh between 9 and 11 ounces?
b. what is the probability that the average weight of a sample of
25 widgets chosen at random from a days production will weigh
between 9 and 11 ounces?
what is the difference...

In a certain factory, Machine A makes 50% of the components,
with 1 in 15 being defective. Machine B produces 25%, with 1 in 10
being defective. Machine C produces the rest, with 1 in 20 being
defective.
(a) Complete the probability table for this scenario using the
given template.
(b) What is the probability that a defective component is
produced?
(c) If a component is selected at random and found to be
defective, what is the probability it was...

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