Concept explainers
(a)
Percentage of time that Djokovic hits his first serve faster than 120 mph.
(a)
Answer to Problem 62E
Around 5.48% of the time Djokovic hits his first serve faster than 120 mph.
Explanation of Solution
Given Information:
First serve speed,
Mean speed,
Standard deviation,
Calculations:
Calculate the z − score,
Use normal
See the row that starts with 1.6 and the column that starts with .00 of the standard normal probability table for
Therefore,
Around 5.48% of the time Djokovic hits his first serve faster than 120 mph.
(b)
Percentage ofDjokovic’s first servesslower than 100 mph.
(b)
Answer to Problem 62E
Djokovic hits around 0.82% of the first serves slower than 100 mph.
Explanation of Solution
Given Information:
First serve speed,
Mean speed,
Standard deviation,
Calculations:
Calculate the z − score,
Use normal probability table in the appendix, to find the corresponding probability.
See the row that starts with -2.4 and the column that starts with .00 of the standard normal probability table for
Therefore,
Around 0.82% of the first serves are slower than 100 mph.
(c)
Proportion of Djokovic’s first serves having speeds between 100 and 110 mph.
(c)
Answer to Problem 62E
Around 0.3364 of Djokovic’s first serves have speeds between 100 and 110 mph.
Explanation of Solution
Given Information:
First serve speed,
Mean speed,
Standard deviation,
Calculations:
Calculate the z − score,
Or
Use normal probability table in the appendix, to find the corresponding probability.
See the row that starts with -2.4 and the column that starts with .00 of the standard normal probability table for
Or
See the row that starts with -0.4 and the column that starts with .00 of the standard normal probability table for
Therefore,
Djokovic’s hits around 0.3364 of the first serves with speeds between 100 and 110 mph.
Chapter 2 Solutions
PRACTICE OF STATISTICS F/AP EXAM
Additional Math Textbook Solutions
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