Let y0 be chosen randomly from {0,50}, let y1 be chosen randomly from {40,60,80}, let y2 be chosen randomly from {10,40,70,80}, and let y3 be chosen randomly from {10,30,40,70,90}. (In each choice, the possible outcomes are equally likely to occur.) Let P be the unique polynomial of degree less than or equal to 3 such that P(0) \equal{} y_0, P(1) \equal{} y_1, P(2) \equal{} y_2, and P(3) \equal{} y_3. What is the expected value of P(4)? algebrapolynomialprobabilityexpected value