#6

Test: Week 2 Test (4.1-4.5, 5.1-5.3, 10.1-10.2) Question 6 of 20 This test: 100 point(s) possible This question: 5 point(s) possible Submit test A professional basketball star who had a reputation for being a poor free throw shooter made 4927 of the 9775 free a. Is the proportion of successful free throws P from the simulation reasonably close to the value of 0.5047 (Hint: A throws that he attempted, for a success ratio of 0.504. A simulation was developed to generate random numbers between proportion is said to be "reasonably close" if it is within the given success ratio # the probability of a single event) 1 and 1000. An outcome of 1 through 504 was considered to be a free throw that is made, and an outcome of 505 through 1000 was considered to be a free throw that is missed. The list below shows the results for five generated numbers where 1 represents a free throw that was made and 0 represents a free throw that was missed. Complete parts Yes, P is reasonably close to the value of 0.504. (a) and (b). No, P is not reasonably close to the value of 0.504. b. The simulation was conducted 10 times to generate five 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 -040-0-000 10 O (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? O Yes No