# Question: A basketball player habitually makes 70 of her free throws

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.

Number of Free ...... Frequency

Throws until a Miss

1 ............. 16

2 ............. 11

3 ............. 9

4 ............. 7

5 ............. 2

6 ............. 3

7 ............. 0

8 ............. 1

9 ............. 0

10 ............. 1

(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?

Number of Free ...... Frequency

Throws until a Miss

1 ............. 16

2 ............. 11

3 ............. 9

4 ............. 7

5 ............. 2

6 ............. 3

7 ............. 0

8 ............. 1

9 ............. 0

10 ............. 1

(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?

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