(1 point) The physical fitness of an athlete is often measured by how much oxyge

Question

(1 point) The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is recorded in milliters per kilogram, mlkg). The mean maximum oxygen uptake for elite athletes has been found to be 65 with a standard deviation of 7.1. Assume that the distribution is approximately normal. (a) What is the probability that an elifte athlete has a maximum oxygen uptake of at least 65 m/kg? answer (b) What is the probability that an elite athlete has a maximum oxygen uptake of 75 mlkg or lower? answer. (c) Consider someone with a maximum oxygen uptake of 40 mi/kg. Is it likely that this person is an elite athlete? Write "YES" or NO." answer

Explanation / Answer

Mean is 65 and s is 7.1

a) P(x>65)=P(z>(65-65)/7.1)=P(z>0) or 1-P(z<0) from normal distribution table we get 1-0.8413=0.1587

b) P(x<75)=P(z<(75-65)/7.1)=P(z<1.41), from normal distribution table we get 0.9207

c) P(x<40)=P(z<(40-65)/7.1)=P(z<-3.52), since z is less than -3, he cannot be elite. thus No

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