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 longer than 33 minutes to deliver?
b) What is the probability that a randomly selected parcel will take less than 26 minutes to deliver?
c) What is the minimum delivery time (minutes) for the 2.5% of parcels with the longest time to
deliver?
d) What is the maximum delivery time (minutes) for the 10% of the parcels with the shortest time to deliver?
Let delivery time:
Given
a)
b)
c)
d)
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