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 \(75\) with a standard deviation of \(5.8\text{.}\) Assume that the distribution is approximately normal.

(a) \(\) What is the probability that an elite athlete has a maximum oxygen uptake of at least \(70\) ml/kg?

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(b) \(\) What is the probability that an elite athlete has a maximum oxygen uptake of \(55\) ml/kg or lower?

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(c) \(\) Consider someone with a maximum oxygen uptake of \(27\) ml/kg. Is it likely that this person is an elite athlete? Write "YES" or "NO."

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