Grant is offered to place a $11 bet on a certain event the probability of which happening is estimated to be 75%. In case of the event occurring Grant will receive a total of $25. Let X be the Grant's winnings from the bet. Answer the following questions: 1. Create the probability distribution table for X: X outcome win payoff x,$ 25 loss 2. Use the probability distribution table to find the following: -11 X P(X= x) 468.75 X 30.25 X a. E[X] = x 16.00 dollars. (Round the answer to 2 decimal places.) b. SD[X]=ox 18.5 X dollars. (Round the answer to 1 decimal place.)

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