A charity fundraiser has Spin the Pointer game that uses spinner like the one illustrated in the figure below and on the left. Umulion nlaeequincd Plat tke Pomc cach $2 donation player -pins poinler once and reccite thc Jmount of moncy indicatcd the sccior whcre the pointer land: on the whcel Thc ~pinnch cquwi probability of landing cach of the Tu seciom Let X represent the net contribution t0 the charity when one person plays the game once. Complete table for the probability distribution of X (b) What is the expected value of the net contribution to the charity for one play of the game? (c) The charity would like t0 receive net contribution of SS00 from this game What is the fewest number of times the game must be played for the expected value of the net contribution t0 be at least SS00 (d) Based on last year " event; the charity anticipates that the Spin the Pointer game will be played [.0OO times The charity would like to know the probability of obtaining net contribution of at least SSO0 in 1,000 plays of the game: The mean and standard deviation of the net contribution t0 the charity in 000 plays of the game are S700 and S92.79, respectively. Use the normal distribution to approximate the probability that the charity would obtain net contribution of at least S5OO in J000 plays of the game'