Question

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 was produced by
machine Z?

Answer:

**2.** What is the probability that it was produced by
machine Y?

Answer:

For each of the above questions, express any probability value as a
fraction or a decimal with 10 decimal places.

Answer #1

A canning factory produces 5,000 containers a day. Machine A
produces 3,000 of these packages, of which 5% are defective and
Machine B produces the remaining 2,000 packages, of which 8% are
defective.
A package is randomly selected and found to be defective. What
is the probability that it was produced by machine B?

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...

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...

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 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 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...

steel factory produces iron rods that are supposed to
be 36 inches long. The machine that makes
these rods does not produce each rod exactly 36 inches long. The
lengths of these rods vary slightly.
It is known that when the machine is working properly, the mean
length of the rods is 36 inches.
According to design, the standard deviation of the lengths of all
rods produced on this machine is
always equal to .05 inches. The quality control department...

Your Friend’s Factory produces products X, Y, and Z from a
single raw material input. The input cost for the single raw
material is $120,000. Budgeted data for the next month is as
follows:
Product X
Product Y
Product Z
Units produced.................
5,500
5,000
4,500
Per unit sales value at split-off......
$ 19.00
$ 25.00
$ 22.00
Added processing costs per unit....
$ 8.50
$ 7.50
$ 8.00
Per unit sales value if processed further.....
$ 33.00
$ 35.00
$...

LeBron
Factory
Number
of
Workers
Number
of
Machines
Output
(chairs
produced
per hour)
Marginal
Product of
Labor
Cost of
Workers
Cost of
Machines
Total
Cost
?1
?2
?5
?2
?2
?10
?3
?2
?20
?4
?2
?35
?5
?2
?55
?6
?2
?70
?7
?2
?80
Refer to Table above.
First, complete the missing information in the Table
above.
1.Each worker at the
LeBron Chair Factory costs $12 per hour. The cost of each machine
is $20 per day regardless...

The manufacturing process at a factory produces ball bearings
that are sold to automotive manufacturers. The factory wants to
estimate the average diameter of a ball bearing that is in demand
to ensure that it is manufactured within the specifications.
Suppose they plan to collect a sample of 50 ball bearings and
measure their diameters to construct a 90% and 99% confidence
interval for the average diameter of ball bearings produced from
this manufacturing process.
The sample of size 50...

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