Question: 1. Let X be a continuous random variable with pdf 2(1-x) if 0 x 1 f(x) = otherwise 1.1. (8 points) *Draw a graph

1. Let X be a continuous random variable with pdf 2(1-x) if 0 x 1 f(x) = otherwise 1.1. (8 points) *Draw a graph such that the shaded area represents P(X < 1.2. (4 points) What is P(X < })? ). 1.3. (4 points) What is E(X)? I 1.4. (4 points) What is E(X)? 1.5. (4 points) What is Var(X)? 1.6. (4 points) What is sd(X)? 1.7. (8 points) *Derive the cdf, F(x).

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