insurance. The annual premium for a $15,000 insurance policy against the theft of a painting is $250. If the (empirical) probability that the painting will be stolen during the year is .02 expected return from the insurance company if you take out this insurance? a. Let X be the random variable for the amount of money received from the insurance company in the given year. Complete the payoff table for the random variable X. (Enter the values for the painting being stolen first.) (Type probabilities as decimals.) P b. E(X)= $ X d # 3 E D 20 F3 C $ 4 R DOO DOO F4 F do 5 % V D F5 T G MacBook Pro B F6 Y - H & 7 N Ad F7 ... Vi J * 00 8 DII FO 3 I. - ( 9 K DD F9 O V More H -0 O L F10 command P . V ...N F11 option { + 11 ? = 1 11 F12 } 1

(Erter bie vatuet for tha painting teing stolen sint) (Type inobsiaties as oocmas.) b. E(X9)=1