In a certain city, the daily consumption of electric power, in millions of Kilowatt-hours, is a random variable X having a gamma distributions with mean is 6 and variance is 12. (a) Find the values of a and 3. (b) Find the probability that on any given day the daily power consumption will exceed 11 million kilowatt-hours.

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In a certain city, the daily consumption of electric power, in millions of kilowatt-hours, is a random variable \( X \) having a gamma distribution with mean 6 and variance 12.

(a) Find the values of \( \alpha \) and \( \beta \).

(b) Find the probability that on any given day the daily power consumption will exceed 11 million kilowatt-hours.
Transcribed Image Text:In a certain city, the daily consumption of electric power, in millions of kilowatt-hours, is a random variable \( X \) having a gamma distribution with mean 6 and variance 12. (a) Find the values of \( \alpha \) and \( \beta \). (b) Find the probability that on any given day the daily power consumption will exceed 11 million kilowatt-hours.
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