Find the value of a when Z is a standard normal random variable and P{-3 < Z <-1} = P{1 < Z
Find the value of a when Z is a standard normal random variable and P{-3 < Z <-1} = P{1 < Z
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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What is Cumulative Distribution Function:
The cumulative distribution function (CDF) of a real-valued random variable X assessed at x in probability theory and statistics is the likelihood that X will have a value less than or equal to x. It provides the area under the probability density function from minus infinity to x in the case of a scalar continuous distribution. The distribution of multivariate random variables is also specified using cumulative distribution functions.
Given:
For a random variable following standard normal distribution, it is given that,
.
To Determine:
We determine .
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