A professional basketball star who had a reputation for being a poor free throw shooter made 4970 of the 9802 free throws that he attempted, for a success ratio of 0.507. Asimulation was developed to generate random numbers between 1 and 1000. An outcome of 1 through 507 was considered to be a free throw that is made, and an outcome of 508 through 1000 was considered to be a free throw that is missed. The list below shows the results for ve generated numbers where 1 represents a free throw that was made and 0 represents a free throw that was missed. Complete parts (a) and (b). D O 1 O 1 a. Is the proportion of successful free throws P from the simulation reasonably close to the value of 0.507? (Hint: A proportion is said to be "reasonably close" if it is within the given success ratio i the probability of a single event.) 0 Yes, P is reasonably close to the value of 0.507. O No, P is not reasonably close to the value of 0.507. b. The simulation was conducted 10 times to generate ve results R1, R2, R3, R4 and R5 each time, as shown in the table below. Determine the proportion of successful free throws P in each case. Case R1 R2 R3 R4 R5 P 1 0 Cl 1 0 1 2 1 1 U 1 0 3 1 0 1 O 0 4 0 0 U 1 1 5 1 0 1 0 0 6 O 1 U 0 0 7 O 0 0 1 0 2 1 n n 1 n the proportion of successful tree throws P in each case. Case R1 R2 R3 R4 R5 P 2 Ooo-060-0 -4200-0-20 o o o o o - 0 - 0 - 10 (Do not round.) Based on the above results, would it be unusual for the professional basketball star to make all of five free throws in a game? Yes O No