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

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.

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

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...

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?

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?

2) The probability of any car being defective in the products of
a car company is 0.1 is known as. If 200 vehicles are chosen
randomly from this company, the number of defective cars,
a) At least 25
b) up to 18
c) Between 15 and 28
what is this possibility?

2. Nova Ceramics manufacture specialty ceramic parts for
non-metallic applications. Parts must be precision drilled such
that when assembled with other parts they are a perfect fit.
Inspecting parts is time consuming so the practice is for customers
to inspect a sample of items from a shipment and if no more than 1
item is defective, the shipment is accepted.
a) Suppose that the on average 0.1% of units are defective. The
customer makes the decision on acceptance based upon...

It is estimated that
2.1%
of the quartz heaters produced in a certain plant are defective.
Suppose the plant produced 12,000
such heaters last month. Find the probabilities that among
these heaters, the following numbers were defective.
(a) Fewer than 239
The probability that fewer than 239 parts are defective is
(Round to four decimal places as needed.)
(b) More than 263
The probability more than 263 are defective is
(Round to four decimal places as needed.)

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