SOLUTION: A company manufactures calculators in batches of 45 and claims that the rate of defects is 4%. Find the probability of getting exactly 2 defects in a batch of 45 if the rate of def

Question 266372: A company manufactures calculators in batches of 45 and claims that the rate of defects is 4%. Find the probability of getting exactly 2 defects in a batch of 45 if the rate of defects is 4%. If a store receives a batch of 45 calculators and finds that there are 2 defective calculators, do they have any reason to doubt the company's claimed rate of defects?
Possible answers:

a. 0.263; No. If the rate of defects is really 4%, it is not so unlikely to find 2 defects in a batch of 45 calculators.
b. 0.548; No. If the rate of defects is really 4%, it is not so unlikely to find 2 defects in a batch of 45 calculators.
c. 0.0166; Yes. If the rate of defects is really 4%, the probability of finding 2 defects in a batch of 45 calculators is very small.
d. 0.274; No. If the rate of defects is really 4%, it is not so unlikely to find 2 defects in a batch of 45 calculators.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A company manufactures calculators in batches of 45 and claims that the rate of defects is 4%. Find the probability of getting exactly 2 defects in a batch of 45 if the rate of defects is 4%.
Binomial Problem:
n = 45 ; p = 0.04 ; x=2
P(x=2) = 45C2(0.4)^2(0.96)^43 = 0.2738
-----------------------------------------
Ans: d
-----------
If a store receives a batch of 45 calculators and finds that there are 2 defective calculators, do they have any reason to doubt the company's claimed rate of defects?
No, the probability is better than 27% that 2 defects would be found in
a batch of 45.
==========================================================================
Cheers,
Stan H.
==========================================================================

Possible answers:
a. 0.263; No. If the rate of defects is really 4%, it is not so unlikely to find 2 defects in a batch of 45 calculators.
b. 0.548; No. If the rate of defects is really 4%, it is not so unlikely to find 2 defects in a batch of 45 calculators.
c. 0.0166; Yes. If the rate of defects is really 4%, the probability of finding 2 defects in a batch of 45 calculators is very small.
d. 0.274; No. If the rate of defects is really 4%, it is not so unlikely to find 2 defects in a batch of 45 calculators.

RELATED QUESTIONS
A company manufactures calculators in batches of 64 and there is a 4% rate of defects.... (answered by stanbon)

A company manufactures calculators in batches of 64 and there is a 5% rate of defects.... (answered by stanbon)

A company manufactures calculators in batches of 64 and there is a 5% rate of defects.... (answered by texttutoring)

A company manufactures calculators in batches of 64 and there is a 5% rate of defects.... (answered by stanbon)

A company manufactures calculators in batches of 64 and there is a 5% rate of defects.... (answered by ewatrrr)

A company manufactures calculators in batchers of 64 and there is a 5% rate of defect.... (answered by stanbon)

A company manufactures calculators in batches of 64. Four out of every 100 calculators... (answered by stanbon)

A company manufactures batteries in batches of 7 and there is a 3% rate of defects. Find... (answered by ewatrrr)

A product is manufactured in batches of 120 and the overall rate of defects is 5%.... (answered by robertb)