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please give all the correct answer with explanations, include any theorem if it is used. thankyou

iv) Let c be a real constant and X be a continuous random variable with probability density function f:R + R given by c f( fo

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(iv). Grinen, f(x)=se ; for Isa<3 otherwise (9). .. since we know po flas da = 1 that ; ne [a, b] Spendre - Sade - e [3-15 =o Thus; JELX) =21 vode (X)= E(X2) - [E(x)]2 :: E(X2) = 2 flas de = 22 de Elx?) = 3 1. Var (x) = E(X2) - TE (x)] 13-12 = 13 -

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