Cardiorespiratory fitness is widely recognized as a major component of overall physical well-being. Direct measurement of maximal oxygen uptake (VO 2 max) is the single best measure of such fitness,...

Cardiorespiratory fitness is widely recognized as a major component of overall physical well-being. Direct measurement of maximal oxygen uptake (VO₂max) is the single best measure of such fitness, but direct measurement is time-consuming and expensive. It is therefore desirable to have a prediction equation for VO₂max in terms of easily obtained quantities. Consider the following variables.

Here is one possible model for male students, consistent with the information given in the article "Validation of the Rockport Fitness Walking Test in College Males and Females."†

(b) What is the expected value of VO₂max when weight is 78 kg, age is 19 yr, walk time is 14 min, and heart rate is 138 b/m?
  L/min


(c) What is the probability that VO₂max will be between 1.19 and 2.07 for a single observation made when the values of the predictors are as stated in part (b)? (Round your answer to four decimal places.)