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Example 7 The amount of electricity (in hundreds of kilowatt-hours) that a certain power company is able to sell in a day is found to be a random variable with the following probability density function (pdf): kx k(10-x): 0: 0sxs5 5 x 10 elsewhere n) = (i) (ii) Find the value of k. What is the probability that the amount of electricity that will be sold is more than 600 kilowatt-hours. (ii) What is the probability that the amount of electricity that will be sold is between 250 kilowatt-hours and 750 kilowatt-hours.
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Answer #1

Using the fact that total probability is 1 we have

2 2- 6 0.32 LV, 2 규

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