X has a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
μ = 42, σ = 20, find
P(35 ≤ X ≤ 50)
= 42
= 20
To find P(35 X 50):
Case1: For X from 35 to mid value:
Z + (35 - 42)/20 = - 0.35
Table of Area Under Standard Normal Curve gives area = 0.1368
Case2: For X from mid value to 50:
Z = (50 - 42)/20 = 0.40
Table gives area = 0.1554
So,
P(35 X 50) = 0.1368 + 0.1554 = 0.2922
So,
Answer is:
0.2922
X has a normal distribution with the given mean and standard deviation. Find the indicated probability....
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