.UNIFORM. The amount of energy used by Saint Francis University during a month i

Question

.UNIFORM. The amount of energy used by Saint Francis University during a month is UNIFORMLY distrbuted between 10 GigaWatts and 50 GigaWats.

a. What would the probability density function be for the amount of electricity used by SFU for 1 month be? Write as f(x) = ?

b. What is the probability that SFU uses more than 20 Gigawatts in a month?

c. What is the probability that SFU uses less than 30 Gigawatts in a month?

d. What is the average or expected value for the amount of electricity SFU uses in a month?

I'd like you to complete the following problems on Excel. Copy the results to a Word document to be submitted and to uploaded through this assignment. Please also attach your Excel file where you entered the formulas.For each problem, I'd also like you to briefly describe the results in narrative form.

Explanation / Answer

Solution:-
a. f(x) = 1/(50-10) = 1/40
F(x) = (x-10)/(50-10) = (x-10)/40

b. => 1-(20-10)/40 = 0.75

c. => (30-10)/40 = 0.5

d. Expected value = (10+50)/2 = 30

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