# devry math553 homework questions

August 30, 2017

Question
DCW Chemical is planning to implement an acceptance sampling plan for raw materials. A random sample of 22 batches from a large shipment (having a large number of batches) is selected. If two or more of the 22 batches fail to meet specifications, then the entire shipment is returned. Otherwise, the shipment is accepted.

In a sample of 22 batches from a population that is 1% defective (1% of the batches fail to meet specifications), find the probability that

a. two or more batches fail to meet specifications.
b. exactly two batches fail to meet specifications.
c. fewer than two batches fail to meet specifications. (Points : 18)
4. (TCO B) Telcom is a telephone answering service for physicians. The length of a message is a normally distributed variable with a mean 152.3 seconds and a standard deviation of 22.8 seconds.

a. What percentage of messages lasts longer than 120 seconds?
b. What percentage of messages lasts between 90 and 120 seconds?
c. Find the 95th percentile for length of message (i.e., find the cutoff for the longest 5% of messages). (Points : 18)

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