Tuesday, March 15, 2016

The weights of professional baseball players follow a normal distribution
with a mean of 200 pounds and a standard deviation of 25 pounds.
Find the probability that a randomly selected professional baseball
player has a weight less than 225 pounds, P(x < 225) - ?

Z value is (x-mean)/standard deviation
x = 225
mean= 200
standard deviation = 25
Z = (225 - 200)/25 = 1
Now look up Z(1) on the chart and you will see it is .8413. That is the answer since they are asking for P(x < 225) if it was P(x > 225) then would have to take 1- .8413

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