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 80 with a standard deviation of 8.1 Assume that the distribution is approximately normal. (a) What is the probability that an elite athlete has a maximum oxygen uptake of at least 75 ml/kg? answer: (b) What is the probability that an elite athlete has a maximum oxygen uptake of 50 ml/kg or lower? answer: (C) Consider someone with a maximum oxygen uptake of 40 ml/kg. Is it likely that this person is an elite athlete? Write "YES" or "NO." answer. calculate your z-scores to at least 3 decimal places when finding the probability, to insure that rounding is not an issue.

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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 80 with a standard deviation of 8.1. Assume that the
distribution is approximately normal.
(a) What is the probability that an elite athlete has a maximum oxygen uptake of at least 75 ml/kg?
answer.
(b) What is the probability that an elite athlete has a maximum oxygen uptake of 50 ml/kg or lower?
answer
%3D
(c) Consider someone with a maximum oxygen uptake of 40 ml/kg. Is it likely that this person is an elite athlete? Write "YES" or "NO."
answer.
Calculate your z-scores to at least 3 decimal places when finding the probability, to insure that rounding is not an issue.
Transcribed Image Text: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 80 with a standard deviation of 8.1. Assume that the distribution is approximately normal. (a) What is the probability that an elite athlete has a maximum oxygen uptake of at least 75 ml/kg? answer. (b) What is the probability that an elite athlete has a maximum oxygen uptake of 50 ml/kg or lower? answer %3D (c) Consider someone with a maximum oxygen uptake of 40 ml/kg. Is it likely that this person is an elite athlete? Write "YES" or "NO." answer. Calculate your z-scores to at least 3 decimal places when finding the probability, to insure that rounding is not an issue.
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