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The random variable X, which denotes the interval between two consecutive events, has the PDF: fx...

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Basic Math

The random variable X, which denotes the interval between twoconsecutive events, has the PDF: fx (?) = 4?^( 2)?^( −2?) ? ≥ 0 Ifwe assume that intervals between events are independent, determinethe following: (a) The expected value of X. (b) The expected valueof the interval between the 11th and 13th events (c) Theprobability that ? ≤ 6.

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