a. Is the proportion of successful free thPOWs proportion is said to be "reasonably close" if it is within the given success ratio t the probability of a single event) A professional basketball star who had a reputation for being a poor free throw shooter made 5210 of the 9721 free throws that he attempted, for a success ratio of 0.536. A simulation was developed to generate random numbers between 1 and 1000. An outcome of 1 through 536 was considered to be a free throw that is made, and an outcome of 537 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). O No, P is not reasonably close to the value of 0.536. O Yes, P is reasonably close to the value of 0.536. 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. 1 1 1 Case R1 R2 R3 R4 R5 1 1 1 1 0.8 1 1 1. 8 6. 1. 10 (Do not round.)

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A professional basketball star who had a reputation for being a poor free throw shooter made 5210 of the 9721 free
throws that he attempted, for a success ratio of 0.536. A simulation was developed to generate random numbers between
1 and 1000. An outcome of 1 through 536 was considered to be a free throw that is made, and an outcome of 537
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).
a. Is the proportion of successful free throws P from the simulation reasonably close to the value of 0.536? (Hint: A
proportion is said to be "reasonably close" if it is within the given success ratio ± the probability of a single event.)
No, P is not reasonably close to the value of 0.536.
Yes, P is reasonably close to the value of 0.536.
0 1
1
1
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
1
1
1
1
1
3
1
1
1
1
0.8
4
1
1
1
1
1
1
1
6.
1
1
7
1
1
1
8
1
1
1
9.
1
1
1
10
1
1
(Do not round.)
Transcribed Image Text:A professional basketball star who had a reputation for being a poor free throw shooter made 5210 of the 9721 free throws that he attempted, for a success ratio of 0.536. A simulation was developed to generate random numbers between 1 and 1000. An outcome of 1 through 536 was considered to be a free throw that is made, and an outcome of 537 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). a. Is the proportion of successful free throws P from the simulation reasonably close to the value of 0.536? (Hint: A proportion is said to be "reasonably close" if it is within the given success ratio ± the probability of a single event.) No, P is not reasonably close to the value of 0.536. Yes, P is reasonably close to the value of 0.536. 0 1 1 1 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 1 1 1 1 1 3 1 1 1 1 0.8 4 1 1 1 1 1 1 1 6. 1 1 7 1 1 1 8 1 1 1 9. 1 1 1 10 1 1 (Do not round.)
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