Question

A) There are 20 machines in a factory. 7 of the machines are defective.

Assuming you randomly choose one, place it back in the pile and randomly choose the second one, what is the probability that both choices will be defective machines?

B) There are 20 machines in a factory. 7 of the machines are defective.

Assuming you randomly choose one, do not place it back in the pile and randomly choose the second one, what is the probability that both choices will be defective machines?

Answer #1

A) Total machine = 20

Defective machine =7

Non defective machine = 13

P(1st machine being defective)= 7/20

P(2nd machine being defective when first machine is placed back ) = 7/20

So PROBABILITY that both the machine being defective is = (7/20)×(7/20) = 49/400

So answer is 49/400

B)

P(1st machine being defective) =7/20

P(2nd being defective when first machine is not returned/replaced) = 6/19

So PROBABILITY that both the machine being defective (when not replaced) = (7/20)×(6/19)

=42/380

=21/190

So answer is 21/190

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...

Q4) Given that the expected number of defective machines is 2 if
20 machines are shipped.
i. Find the probability of good machines manufactured by the
company.
ii. What is the probability that at least 4 are defective?
iii. What are the expected number and standard deviation of good
machines in a

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...

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.)

20% of the bolts by a machine are defective. Determine the
probability that out of 7 bolts chosen at random that ...
a. ... one is defective?
b. ... two or more are defective?

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 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 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 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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 10 minutes ago

asked 13 minutes ago

asked 16 minutes ago

asked 32 minutes ago

asked 33 minutes ago

asked 40 minutes ago

asked 44 minutes ago

asked 44 minutes ago

asked 54 minutes ago

asked 55 minutes ago

asked 1 hour ago

asked 1 hour ago