Question: Please solve quickly 2. In a city, the daily consumption of electricity power, in millions of Kilowatt (kt) hours, is a random variable X having

Please solve quickly

2. In a city, the daily consumption of electricity power, in millions of Kilowatt (kt) hours, is a random variable X having a gamma distribution with mean =6 and variance =12. a. Write the pdf of X. b. Given a month has 31 days, how many kt hours should we expect the city to consume during a month? c. What is the probability that in any given day the daily consumption of power will exceed 14.45 ? 3. Suppose that the time it takes to get service in a restaurant follows a gamma distribution with mean 8 minutes and standard deviation 4 minutes. a. Write the pdf of the gamma distribution. b. You went to this restaurant at 6:30. What is the approximate probability that you will receive service before 6:33 ? 4. Find the tenth percentile of 2(10). 5. Evaluate 0x4exp(x)dx

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