**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.

Given that the mean is 69 and standard deviation of 7.8 a) The probability that an elite athlete…

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.

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.

A First Course in Probability (10th Edition)

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ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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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.

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