probability

almill21

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Oct 18, 2013
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question: Scores on a nationwide college entrance examination follow a normal distribution with a mean of 510 and a standard deviation of 100. Calculate the probability that a student will score over 650? less than 250?
 
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so far this is what I got: by using x=mean+z(sd) so 650=510+z(1000) => z=0.14 => x=0.5557 so 1-0.5557=0.4443=44.43% will score over 650 , I was wondering if this method is correct, if not could someone point out the right steps and possibly give a final answer so that I can verify for both. thank you very much --Alex
 
probability
question: Scores on a nationwide college entrance examination follow a normal distribution with a mean of 510 and a standard deviation of 100. Calculate the probability that a student will score over 650? less than 250?
so far this is what I got: by using x=mean+z(sd)
so 650=510+z(1000) => z=0.14 => x=0.5557 ..OOPS, standard deviation is 100, not 1000
so 1-0.5557=0.4443=44.43% will score over 650 ,
I was wondering if this method is correct, if not could someone point out the right steps and possibly give a final answer so that I can verify for both. thank you very much --Alex
Method is good, but silly error in calculating z.

Look up F(z) for z=1.4 instead of 0.14.
 
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