Question

45% of the products produced in a factory are produced in machine A, 30% in machine B and the rest in machine C. During production, 15% of the products in the machine A, 20% and 10% of the products in the B and C machine respectively are out of order. A piece taken from production was found to be defective. What is the probability that this part was produced by the C machine?

Answer #1

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...

Three machines turn out all the products in a factory, with the
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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.)

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 cell phone battery can be produced by machine A, machine B, or
machine C. Twenty percent of the time the battery will be produced
by machine A, 45% by machine B, and 35% by machine C. A quality
control analyst inspects the batteries after production and finds
that machine A makes defective batteries 10% of the time, where
machines B and C each makes defective batteries 8% of the time.
One cell phone battery is randomly selected from the...

The masks supplier "Carrey" receives products from 2 textile
factories. Factory A accounts for 40% of the goods and the rest
supplied by factory B. Based on experience, 25% of factory A's
masks are known to be defective. Factory B Works in 2 shifts around
the clock. 70% of the masks are made on the day shift. 10% of these
masks are defective. On the night shift, 30% of the masks are
defective.
a) Given that a musk turns out...

A factory production line is manufacturing bolts using three
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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 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...

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
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1. What is the probability that it...

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...

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