QUESTION IV [6] A courier service company has found that their delivery time of parcels to clients is approximately normally distributed with a mean delivery time of 30 minutes and a variance of 25 minutes (squared). Required: a) What is the probability that a randomly selected parcel will take more than 26 minutes to deliver? (2) b) What is the minimum delivery time (minutes) for the 2.5% of parcels with the longest time to deliver? (4

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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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QUESTION IV [6]
A courier service company has found that their delivery time of parcels to clients is approximately
normally distributed with a mean delivery time of 30 minutes and a variance of 25 minutes (squared).
Required:
a) What is the probability that a randomly selected parcel will take more than 26 minutes to
deliver? (2)
b) What is the minimum delivery time (minutes) for the 2.5% of parcels with the longest time to
deliver? (4

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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,