A professional basketball star who had a reputation for being a poor free throw shooter made 4996
Question:
A professional basketball star who had a reputation for being a poor free throw shooter made 4996 of the 9757 free throws that heattempted, for a success ratio of 0.512. A simulation was developed to generate random numbers between 1 and 1000. An outcome of 1 through 512 was considered to be a free throw that ismade, and an outcome of 513 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.
0 1 0 0 0
The simulation was conducted 10 times to generate five resultsR1, R2,R3, R4 and R5 eachtime, 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 1 0 0 0 ____
2 1 0 0 1 0 _____
3 0 0 1 0 0 _______
4 1 0 1 1 0 _______
5 0 1 0 0 0 _______
6 1 0 1 0 1 ________
7 1 0 1 0 1 ________
8 1 1 0 0 0 _______
9 0 1 0 0 1 ________
10 1 0 1 0 0 _________
( Do not round)