Suppose x is a normally distributed random variable with u = 50 and o = 3. Find a value of the random variable, call it x», such that a. P(x < xo) = .8413 b. P(x > xo) = .025 c. P(x > xo) = .95 d. P(41 < x < xo) = .8630 e. 10% of the values of x are less than xo. f. 1% of the values of x are greater than xo.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.3P
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4.94 Suppose x is a normally distributed random variable with u = 50 and o = 3. Find
a value of the random variable, call it xo, such that
a. P(x < xo) = .8413
b. Р(х > хо) %3 .025
с. Р(х > хо) %3.95
d. P(41 < x < xo) = .8630
e. 10% of the values of x are less than xp.
f. 1% of the values of x are greater than xo.
Transcribed Image Text:4.94 Suppose x is a normally distributed random variable with u = 50 and o = 3. Find a value of the random variable, call it xo, such that a. P(x < xo) = .8413 b. Р(х > хо) %3 .025 с. Р(х > хо) %3.95 d. P(41 < x < xo) = .8630 e. 10% of the values of x are less than xp. f. 1% of the values of x are greater than xo.
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