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

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

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