Let s o sj be a sample space containing all posshy sible


Let S = [O, SJ be a sample space containing all pos­ sible values of the daily quantity demanded of elec­ tric power for a large midwestern city in the sum­ mer months. The units of measurement are millions of megawatts, and the capacity of the power grid is 5 million megawatts.

Answer the following questions concerning proba­ bility assignments to events in the sample space, S, re­ lating to the daily demand for electric power. Treat the information provided in the questions as cumulative. Justify your answers.

a. Given that A = (0, 4), B = [3, SJ, P(A) = .512 and P(B) = .784, what is the probability that the power demand will be no greater than 4 million megawatts and no less than 3 million megawatts, i.e., what is the probability of A n B?

b. What is the probability of event C = [O, 3)?

c. Can P(D) = .6, given that D = [O, 2.5)?

d. Given that P([O, 2]) = .064, what is the probability of event E = (2, 4]?

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Basic Statistics: Let s o sj be a sample space containing all posshy sible
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