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A professional basketball star who had a reputation for being a poor free throw shooter made 5410 of the 9747 free throws that a. Is

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A professional basketball star who had a reputation for being a poor free throw shooter made 5410 of the 9747 free throws that a. Is the proportion of successful free throws P from the simulation reasonably close to the value of 0.555? (Hint: A he attempted, for a success ratio of 0.555. A simulation was developed to generate random numbers between 1 and 1000. An proportion is said to be "reasonably close" if it is within the given success ratio + the probability of a single event.) outcome of 1 through 555 was considered to be a free throw that is made, and an outcome of 556 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 O free throw that was made and 0 represents a free throw that was missed. Complete parts (a) and (b). No, P is not reasonably close to the value of 0.555. O Yes, P is reasonably close to the value of 0.555 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 1 1 - - o - - 0 .8 -0 - - sooo - 0.2 OUI A W N 0.6 - O -0 0 -0 - - 0.8 o - O 0.4 0 . 8 60 00 ~ O O -o- - 0.8 0.8 O 10 0.8 (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 O No

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