SOLUTION: X has a noral distribution with a mean of 80.0 . and a standard deviation of 3.5. Find the following probabilities: (A) P(x < 75.0) (B) P(78.0 < x

SOLUTION: X has a noral distribution with a mean of 80.0 . and a standard deviation of 3.5. Find the following probabilities: (A) P(x < 75.0) (B) P(78.0 < x < 83.0) (C) P(x > 85.0)

Question 405192: X has a noral distribution with a mean of 80.0 . and a standard deviation of 3.5. Find the following probabilities:
(A) P(x < 75.0)
(B) P(78.0 < x < 83.0)
(C) P(x > 85.0)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
X has a noral distribution with a mean of 80.0 . and a standard deviation of 3.5. Find the following probabilities:
(A) P(x < 75.0)
(B) P(78.0 < x < 83.0)
(C) P(x > 85.0)
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Find the z-value of each x-value using the given mean and std.
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A) P(x < 75)
z(75) = (75-80)/3.5 = -5/3.5 = -1.4286
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P(x < 75) = P(z < -1.4286) = 0.0766
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Cheers,
Stan H.
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