The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is recorded in milliliters per kilogram, ml/kg). The mean maximum oxygen uptake for elite athletes has been found to be 69 with a standard deviation of 7.8. Assume that the distribution is approximately normal. a) Find the probability that an elite athlete has a maximum oxygen uptake of at least 90.8 ml/kg.

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**Understanding Probability in Athletic Performance Measurements**

The physical fitness of an athlete is often measured by the oxygen uptake, recorded in milliliters per kilogram (ml/kg). For elite athletes, the mean maximum oxygen uptake is found to be 69 ml/kg, with a standard deviation of 7.8. Assuming a normal distribution, the following questions can be explored:

**a) Probability of High Oxygen Uptake**

- **Objective:** Calculate the probability that an elite athlete has a maximum oxygen uptake of at least 90.8 ml/kg.

**b) Probability of Lower Oxygen Uptake**

- **Objective:** Calculate the probability that an elite athlete has a maximum oxygen uptake of at most 58.9 ml/kg.

These exercises help us understand the distribution and variability of physical performance in elite athletes.
Transcribed Image Text:**Understanding Probability in Athletic Performance Measurements** The physical fitness of an athlete is often measured by the oxygen uptake, recorded in milliliters per kilogram (ml/kg). For elite athletes, the mean maximum oxygen uptake is found to be 69 ml/kg, with a standard deviation of 7.8. Assuming a normal distribution, the following questions can be explored: **a) Probability of High Oxygen Uptake** - **Objective:** Calculate the probability that an elite athlete has a maximum oxygen uptake of at least 90.8 ml/kg. **b) Probability of Lower Oxygen Uptake** - **Objective:** Calculate the probability that an elite athlete has a maximum oxygen uptake of at most 58.9 ml/kg. These exercises help us understand the distribution and variability of physical performance in elite athletes.
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