SOLUTION: Binomial and Normal Distribution In a certain normal distribution of scores, the mean is 40 and the standard deviation is 4. Find the z-score corresponding to a score of 43. Wha

Algebra ->  Probability-and-statistics -> SOLUTION: Binomial and Normal Distribution In a certain normal distribution of scores, the mean is 40 and the standard deviation is 4. Find the z-score corresponding to a score of 43. Wha      Log On


   



Question 746211: Binomial and Normal Distribution
In a certain normal distribution of scores, the mean is 40 and the standard deviation is 4. Find the z-score corresponding to a score of 43. What percentage of scores were below 43?
Thanks for your help! I just don't understand the formula.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In a certain normal distribution of scores, the mean is 40 and the standard deviation is 4. Find the z-score corresponding to a score of 43. What percentage of scores were below 43?
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How far is 43 from the mean?: 43-40 = 3
How many standard deviations is that?: 3/4 of a std.
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Using the normal distribution model:
P(x < 43) = P(z < 3/4) = 0.773
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Cheers,
Stan H.
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