SOLUTION: Let Z by a standard normal random variable. Solve for c. P(c≤Z≤0.57)=0.6907

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Question 618811: Let Z by a standard normal random variable. Solve for c.
P(c≤Z≤0.57)=0.6907
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let Z by a standard normal random variable. Solve for c.
P(c ≤ Z ≤ 0.57) = 0.6907
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Draw a picture of a standard normal curve.: N(0,1)
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Plot a point at z = 0.57
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Find P(0<= z <= 0.57) = normalcdf(0,0.57) = 0.2157
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Then 0.6907 - 0.2157 = 0.4750
That is the probability area to the left of the mean.
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Find the z-value with a left tail 0f 0.5000-0.4750 = 0.0250
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c = invNorm(0.0250) = -1.9600
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Cheers,
Stan H.
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