Question

2. If the distribution function of a random variable is given by El 1-5x for x > 2 10 for x 2 (a) Find the probability densit For part (b), according to the solutions I've been provided the solution should be F(5)-F(4) =.2. Why and how is that the solution? Isn't F(5)-F(4) actually (1-5(5^-2))-(1-5(4^-2)) = .1125?


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(a) Fon) = 1 - s02 1272 = o o W. 81 = I Fca d cl-siz) son) = 10x3 in) da dhe B Peacne5 = (sens an 5 44 Slox X3 da - = 10x [2x

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For part (b), according to the solutions I've been provided the solution should be F(5)-F(4) =.2....
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