Question: Probability and graphs Question 26 Random variable X is defined to be the value when a fair six-sided die is rolled, andY is to be

Probability and graphs Question 26 Random variable X is defined to be the value when a fair six-sided die is rolled, andY" is to be the value when a fair ten-sided die is rolled. Find the expectation E[2X + 4Y]. 2 Marks Question 27 A game is played in which a fair coin is tossed three times. If2 or more heads are thrown the player wins 24 dollars, if one head occurs the player wins 8 dollars and if no heads occur the player loses16 3 dollars. What is the expected value of their winnings, in dollars? Note: just put the number, do not put Marks a dollar sign. Question 28 Suppose a continuous random variable X has a probability density functionh (x) defined by h(x) = kx?(1 - x) for0

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