SOLUTION: On national mathematics tests, the mean is 75, with a standard deviation of 10. The results are very close to fitting a normal curve. Suppose a standard national mathematic test is

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Question 757389: On national mathematics tests, the mean is 75, with a standard deviation of 10. The results are very close to fitting a normal curve. Suppose a standard national mathematic test is given to a very large group of people. Find the percentage of people whose mathematics score is:
More than 85
Less than 50
Between 70 and 85

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
On national mathematics tests, the mean is 75, with a standard deviation of 10. The results are very close to fitting a normal curve. Suppose a standard national mathematic test is given to a very large group of people. Find the percentage of people whose mathematics score is:
More than 85
z(85) = (85-75)/10 = 1
P(x > 85) = P(z > 1) = 0.1587
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Less than 50
Find the z-value of 50
Find the probability z is greater than that z-value.
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Between 70 and 85
Find the 2 z-values
Find the probability that z is between those z-values.
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Cheers,
Stan H.
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