SOLUTION: A set of normally distributed student test scores has a mean of 80 and a standard deviation of 4. Determine the probability that a randomly selected score will be between 74 and 82

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Question 388965: A set of normally distributed student test scores has a mean of 80 and a standard deviation of 4. Determine the probability that a randomly selected score will be between 74 and 82. Express your answer as a decimal number, rounded to the nearest thousandth.
Answer by stanbon(75887) About Me  (Show Source):
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A set of normally distributed student test scores has a mean of 80 and a standard deviation of 4. Determine the probability that a randomly selected score will be between 74 and 82. Express your answer as a decimal number, rounded to the nearest thousandth.
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z(74) = (74-80)/4 = -3/2
z(82) = (82-80)/4 = 1/2
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P(74 < x < 82) = P(-3/2 < z < 1/2) = 0.6247
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Cheers,
Stan H.
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