Question #4 An urn contains 1 red marble, 7 white marbles, and 2 blue marbles. A player randomly selects one marble from the urn and wins $5 if the marble is red, loses $3 if the marble is white, and loses $1 if the marble is blue. Find the expected winnings. (2) Question #5 A random variable X has the probability density function below. Find the standard deviation of the random variable. X Pr(x) X - Pr (X) X - H (X - 1) 2 (X - H)2 . Pr(X) (2) 0.3 0.6 0.1 Question #6 An unfair coin with Pr(H) = 0.54 is flipped 300 times. A random variable X is defined as the number of heads that occur. Find the / and o. H=_ (2) 0 =_ (2)