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Free Throws A basketball player habitually makes 70% of
Chapter 2, Problem 16E(choose chapter or problem)
A basketball player habitually makes 70% of her free throws. In an experiment, a researcher asks this basketball player to record the number of free throws she shoots until she misses. The experiment is repeated 50 times. The following table lists the distribution of the number of free throws attempted until a miss is recorded.
\(\begin{array}{|l|l|} \hline \text { Number of Free Throws until a Miss } & \text { Frequency } \\ \hline 1 & 16 \\ \hline 2 & 11 \\ \hline 3 & 9 \\ \hline 4 & 7 \\ \hline 5 & 2 \\ \hline 6 & 3 \\ \hline 7 & 0 \\ \hline 8 & 1 \\ \hline 9 & 0 \\ \hline 10 & 1 \\ \hline \end{array}\)
(a) Construct a relative frequency distribution of the data.
(b) What percentage of the time did she first miss on her fourth free throw?
(c) What percentage of the time did she first miss the tenth free throw?
(d) What percentage of the time did she make at least five in a row?
Questions & Answers
QUESTION:
A basketball player habitually makes 70% of her free throws. In an experiment, a researcher asks this basketball player to record the number of free throws she shoots until she misses. The experiment is repeated 50 times. The following table lists the distribution of the number of free throws attempted until a miss is recorded.
\(\begin{array}{|l|l|} \hline \text { Number of Free Throws until a Miss } & \text { Frequency } \\ \hline 1 & 16 \\ \hline 2 & 11 \\ \hline 3 & 9 \\ \hline 4 & 7 \\ \hline 5 & 2 \\ \hline 6 & 3 \\ \hline 7 & 0 \\ \hline 8 & 1 \\ \hline 9 & 0 \\ \hline 10 & 1 \\ \hline \end{array}\)
(a) Construct a relative frequency distribution of the data.
(b) What percentage of the time did she first miss on her fourth free throw?
(c) What percentage of the time did she first miss the tenth free throw?
(d) What percentage of the time did she make at least five in a row?
ANSWER:Step 1 of 5
The number of free throws of the basketball player until a miss and their respective frequencies are given as follows:
\(\begin{array}{|l|l|} \hline \text { Number of Free Throws until a Miss } & \text { Frequency } \\ \hline 1 & 16 \\ \hline 2 & 11 \\ \hline 3 & 9 \\ \hline 4 & 7 \\ \hline 5 & 2 \\ \hline 6 & 3 \\ \hline 7 & 0 \\ \hline 8 & 1 \\ \hline 9 & 0 \\ \hline 10 & 1 \\ \hline \end{array}\)
The experiment is repeated 50 times, which means, the total frequency is 50.