Question

A manufactured parts is defective with probability 1/2 and being defective or not is independent among all the parts. Bin A consists of n + 1 parts and bin B consists of n parts. What is the probability that bin A consists of more defectives than bin B?

Answer #1

6. A manufactured parts is defective with probability 1/2. Bin A
consists of n+ 1 parts and bin B consists of n parts. What is the
probability that bin A consists of more defectives than bin B?
For the manufactured part mentioned in the above question, you
have a method of testing if it is defective, but it may give wrong
answers. If the tested part is defective, the method detects the
defect with probability 0.9. If the tested item...

Among 20 metal parts produced in a machine shop, 5 are
defective. If a random sample of three of these metal parts is
selected, find:
The probability that this sample will contain at least two
defectives?
The probability that this sample will contain at most one
defective?

Given that 6% of the 10000s of gadgets produced by a company
have defective parts in them. A departmental store-chain is
expecting a supply of 500 such gadgets.
(a) If we take simple random samples of size 500 from the
population of all such gadgets, the proportion of defectives among
all such samples will show a mean of?
(b) If we take simple random samples of size 500 from the
population of all such gadgets, the proportion of defectives among...

Half of a set of the parts are manufactured by machine
A and half by machine B. Seven percent of all the
parts are defective. Three percent of the parts manufactured on
machine A are defective.
Find the probability that a part was manufactured on machine
A, given that the part is defective.

In a sample of 400 parts manufactured by a factory, the number
of defective parts were found to be 30. The company, however,
claimed that at most 5% of their produce is defective. We wish to
test the company's claim.
Answer the next 3 questions.
1. Is the hypothesis: right-tailed, left tailed, or
two-tailed?
2. True or False. We fail to reject the Null hypothesis at 5%
level of significance.
3. True or False. We do not have enough evidence...

a package contains 9 resistor 2 of which are defective find the
probability of
0 being defective
1 being defective
2 being defective
3 being defective

2% of widgets manufactured by Acme Gadget Co. are defective. a)
if 20 Acme widgets are selected at random, what is the probability
of getting at least 1 that is defective. B) Find the probability at
least 3 widgets need to be selected to find 1 that is defective. C)
what is the expected number of widgets that need to be inspected to
find one that is defective?

Electronic chips are produced with a probability 0.9 of not
being defective. What is the approximate probability that more than
9075 of the next 10,000 are good?

Ceramics in a factory are manufactured in lots of 200 and 3% are
defective. Assume the pieces are independent. Use the normal
approximation to the binomial with the continuity correction to
find the probability more than 10 are defective.
0.031 (Correct)
And, use the normal approximation to the binomial with the
continuity correction to find the probability there are between 4
and 8 defects, inclusive.
0.5832 (incorrect)
I try the second question but my answer is in correct.

A machine that manufactures automobile parts produces defective
parts 15% of the time. If 6 parts produced by this machine are
randomly selected, what is the probability that fewer than 2 of the
parts are defective?

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