Question

A professional basketball star who had a reputation for being a poor free throw shooter made

5051

of the

9807

free throws that he​ attempted, for a success ratio of

0.515

A simulation was developed to generate random numbers between 1 and 1000. An outcome of 1 through

515515

was considered to be a free throw that is​ made, and an outcome of

516

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​ (a) and​ (b).

1

0

0

1

0

a. Is the proportion of successful free throws P from the simulation reasonably close to the value of

0.515?

​(Hint: A proportion is said to be​ "reasonably close" if it is within the given success ratio

plus or minus±

the probability of a single​ event.)

Yes

P

is

reasonably close to the value of

0.515

Your answer is correct.

No

P

is not

reasonably close to the value of

0.515

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	P
1	1	0	0	1	0	nothing
2	0	0	1	0	1	nothing
3	1	1	1	0	1	nothing
4	1	0	0	0	1	nothing
5	0	1	1	0	1	nothing
6	1	1	1	0	0	nothing
7	1	0	0	1	0	nothing
8	0	1	0	1	1	nothing
9	0	1	0	1	0	nothing
10	0	0	0	1	1	nothing

​(Do not​ round.)

Answer 1