# Thread: Normal Distribution

1. ## Normal Distribution

Not sure where to begin on this problem. Is there a way you can just enter the values into a TI-84 or is there a formula I should know? Thanks for your help.

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 with a standard deviation of . Assume that the distribution is approximately normal.

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

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

2. Nevermind. I figured it out.

3. 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 with a standard deviation of . Assume that the distribution is approximately normal.

1) What is the probability that an elite athlete has a maximum oxygen uptake of at least ml/kg?
$P(X>55) = 1 - P(X<55)$
$Z=(55-70)/7.7$
= $1-P(Z<-15/7.7)$

now all you need is Neave's table

2) What is the probability that an elite athlete has a maximum oxygen uptake of ml/kg or lower?
$P(X<50)$