Suppose that the variables X1, , Xn form a random sample of size n from a given continuous distribution on the real line for which the p d f is f Find the expectation of the number of observations in the sample that fall within a specified interval a x b

Question: Suppose that the variables X1, . . . , Xn form a random sample of size n from a given continuous distribution on the real

Suppose that the variables X1, . . . , Xn form a random sample of size n from a given continuous on the real line for which the p.d.f. is f . Find the expectation of the number of observations in the sample that fall within a specified interval a ≤ x ≤ b.

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