The weekly demand for a product approximately has a normal distribution with mean 10,000 and standard deviation 2,000. The current on-hand inventory is 22,000 and no deliveries will be occurring in the next two weeks. Assume that the demands in different weeks are independent. (a) What is the probability that the demand next week is less than 11,000? (b) What is the probability that the total of the demands in the next two weeks exceeds 22,000?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
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3. The weekly demand for a product approximately has a normal distribution with mean
10,000 and standard deviation 2,000. The current on-hand inventory is 22,000 and
no deliveries will be occurring in the next two weeks. Assume that the demands in
different weeks are independent.
(a) What is the probability that the demand next week is less than 11,000?
(b) What is the probability that the total of the demands in the next two weeks
exceeds 22,000?
Transcribed Image Text:3. The weekly demand for a product approximately has a normal distribution with mean 10,000 and standard deviation 2,000. The current on-hand inventory is 22,000 and no deliveries will be occurring in the next two weeks. Assume that the demands in different weeks are independent. (a) What is the probability that the demand next week is less than 11,000? (b) What is the probability that the total of the demands in the next two weeks exceeds 22,000?
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