9. A pharmaceutical company receives large shipments of aspirin tablets. The acc
ID: 3042800 • Letter: 9
Question
9.
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 58 tablets, then accept the whole batch if there is only one or none thatdoesn’t meet the required specifications. If one shipment of 5000 aspirin tablets actually has a
6% rate ofdefects, what is the probability that this whole shipment will beaccepted? Will almost all such shipments be accepted, or will many be rejected?
The probability that this whole shipment will be accepted is
.
(Round to four decimal places as needed.)
The company will accept
nothing%
of the shipments and will reject
nothing%
of the shipments, so
(Round to two decimal places as needed.)
10. When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 52 batteries and determine whether each is within specifications. The entire shipment is accepted if at most 3 batteries do not meet specifications. A shipment contains 3000 batteries, and 3% of them do not meet specifications. What is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected?
The probability that this whole shipment will be accepted is
.
(Round to four decimal places as needed.)
The company will accept
nothing%
of the shipments and will reject
nothing%
of the shipments, so
many of the shipments will be rejected.
almost all of the shipments will be accepted.
(Round to two decimal places as needed.)
11. Identify the sample space for a couple having four children.
Find the probability of getting two Girls and two boys (in any order).
2.Multiple-choice questions each have
four
possible answers (a, b, c, d),
one of which is correct. Assume that you guess the answers to three such questions.
a. Use the multiplication rule to find
P(CWW),
where C denotes a correct answer and W denotes a wrong answer.
P(CWW)equals=
(Type an exact answer.)
Explanation / Answer
Solution
(9) rate of defect = 0.06
n = 58
P(X<=1) then whole shipement will be accepted where X is the number of defective tablets
P(X=0) +P(X=1) = (0.94)58 + 58(0.06)(0.94)57 = 0.1299
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