Running Heart Rate: Jose is a physician who is researching to what extent running affects heart rate in 18-25 year-olds. He believes that less than 50% of 18-25 year-olds will experience a heart rate of more than 120 beats per minute (bpm) after running a mile. Jose recruits a random sample of 464 people between the ages of 18 and 25 to run a mile and records their heart rate. He finds that 184 have a heart rate of more than 120 bpm. Round all calculated answers to decimal places.
Added by Albert H.
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For people 16 years old and older, the maximum recommended heart rate, $M(x)$ (in beats per minute: beats $/ \mathrm{min}$ ), is a function of a person's age, $x$ (in years). $$ M(x)=220-x \text { for } x \geq 16 $$ a. Find $M(16),$ and interpret the meaning in terms of maximum recommended heart rate and age. b. Find $M(30)$, and interpret the meaning in terms of maximum recommended heart rate and age. c. Find $M(60)$, and interpret the meaning in terms of maximum recommended heart rate and age. d. Find your own maximum recommended heart rate.
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