Question: 1. For a continuous random variable X with mean x and variance o, prove that E(a+bX) = a + bux and var(a+bX) bo where

$1. For a continuous random variable ( X ) with mean ( mu_{X} ) and variance ( sigma_{X}^{2} ), prove that ( E(a+b X)$

1. For a continuous random variable X with mean x and variance o, prove that E(a+bX) = a + bux and var(a+bX) bo where a and b are unspecified constants. What is the standard deviation of a +bX? 2. Let the random variable X have pdf f(x)=, -c

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