plz help me with this question, DON\'T explain to me I want the direct answer ,

Question

plz help me with this question, DON'T explain to me I want the direct answer , solve it

Many retail stores offer their own credit cards. At the time of the credit application, the customer is given a 10% discount on the purchase. The time required for the credit application process follows a uniform distribution with the times ranging from 4 minutes to 10 minutes.

(a) What is the mean time for the application process?

(b) What is the standard deviation of the process time?

(c) What is the likelihood a particular application will take less than 6 minutes?

(d) What is the likelihood an application will take more than 5 minutes?

Explanation / Answer

a) The 'mean' is just a fancy word for the 'average'.
So the mean, (or halfway point) of 4 and 10 is:
(4 + 10) / 2 = 14 / 2 = 7
answer = 7 minutes

b) Since this is a uniform distribution centered with a mean of 7 minutes,
and since 99.7% of all observations fall within 3 standard deviations of the mean,
the standard deviation of the process time is:
(7 - 4) / 3 = 1
answer = 1 minute

c) The likelihood a particular application with take less than 6 minutes is:
100% - 50% - 34% = 16%

d) Refer to the diagram in the aforementioned webpage.
answer = 2.5%

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