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 65 with a standard deviation of 6.1. Assume that the distribution is approximately normal.
(a) What is the probability that an elite athlete has a maximum oxygen uptake of at least 65 ml/kg?
(b) What is the probability that an elite athlete has a maximum oxygen uptake of 60 ml/kg or lower?
(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."
a)
z = (x - μ)/σ
z = (65 - 65)/6.1 = 0
Therefore,
P(X >= 65) = P(z <= (65 - 65)/6.1)
= P(z >= 0)
= 1 - 0.5 = 0.5
b)
z = (x - μ)/σ
z = (60 - 65)/6.1 = -0.82
Therefore,
P(X <= 60) = P(z <= (60 - 65)/6.1)
= P(z <= -0.82)
= 0.2061
c)
z = (x - μ)/σ
z = (27 - 65)/6.1 = -6.23
Therefore,
P(X <= 27) = P(z <= (27 - 65)/6.1)
= P(z <= -6.23)
= 0
As the probability is significantly low, it is not an elite athlete
The physical fitness of an athlete is often measured by how much oxygen the athlete takes...
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 65 with a standard deviation of 8.8. Assume that the distribution is approximately normal. (a) What is the probability that an elite athlete has a maximum oxygen uptake of at least 60 ml/kg? answer: (b) What is the probability that an elite athlete has...
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 60 with a standard deviation of 7.1. Assume that the distribution is approximately normal. (a) What is the probability that an elite athlete has a maximum oxygen uptake of at least 55 ml/kg? answer: (b) What is the probability that an elite...
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 70 with a standard deviation of 7.4. Assume that the distribution is approximately normal. (a) What is the probability that an elite athlete has a maximum oxygen uptake of at least 60 ml/kg? answer: (b) What is the probability that an elite athlete has...
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 70 with a standard deviation of 8.2. Assume that the distribution is approximately normal. (a) What is the probability that an elite athlete has a maximum oxygen uptake of at least 55 ml/kg? answer: (b) What is the probability that an elite athlete has...
(1 point) 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 6.1. Assume that the distribution is approximately normal. (a) What is the probability that an elite athlete has a maximum oxygen uptake of at least 50 ml/kg? answer: (b) What is the probability that...
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 66 with a standard deviation of 7.4. Assume that the distribution is approximately normal. Find the probability that an elite athlete has a maximum oxygen uptake of at least 77.8 ml/kg. Find the probability that an elite athlete has a maximum oxygen...
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 61.5 with a standard deviation of 8. Assume that the distribution is approximately normal. Find the probability that an elite athlete has a maximum oxygen uptake of at least 76.7 ml/kg. Find the probability that an elite athlete has a maximum oxygen...
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 5.4. Assume that the distribution is approximately normal. (a) What is the probability that an elite athlete has a maximum oxygen uptake of at least 55 ml/kg? answer: (b) What is the probability that an elite athlete has...
Assignment 5: Problem 7 Previous Problem Problem List Next Problem (6 points) The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is recorded in milliliters per kilogram, mkg). The mean maximum oxygen uptake for elite athletes has been found to be 80 with a standard deviation of 9.2. Assume that the distribution is approximately normal. (a) What is the probability that an elite athlete has a maximum oxygen uptake of at...
Homework 7- Normal Distribution Score: 0/17 0/17 answered Question 16 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 70 with a standard deviation of 7.4. Assume that the distribution is approximately normal. Find the probability that an elite athlete has a maximum oxygen uptake of at least 89.2 ml/kg. Find...