Let ? be a random variable with a PDF ?(?) = |? − 1| for 0...

Question

Question

Let ? be a random variable with a PDF

?(?) = |? − 1| for 0 ≤ ? ≤ ?. Answer the following questions
(a) Find ? (b) Find ? (? < 0.5) and ? (|? − 1| > 0.5) (c) Calculate E(?) and V??(?)

(?)* Without any computations answer the following questions. Let ? be a random

variable with a PDF

?(?) = 1 − |? − 1| for 0 ≤ ? ≤ ?

for the same ? as in part (a). Which quantity is larger, V??(?) or V??(? )?

math Statistics-And-Probability

Answer 1

Answer #1

Answer 2

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