If the return is $0.10, then \(x = 0.1\) (this is our observed value). The probability that the return is less than $1 is closest to: The graph of the standard normal distribution used in this application is based on a function originally created by Bret Larget of the University of. Built using Shiny by Rstudio and R, the Statistical Programming Language. Assistance In R coding was provided by Jason Bryer, University at Albany and Excelsior College. The graph of the standard normal distribution used in this application is based on a function originally created by Bret Larget of the University of Wisconsin and modified by B. Author: Bruce Dudek at the University at Albany. Positive z-values Example: Using the z-score Table Tail probability of Standard Normal Distribution. It is a Normal Distribution with mean 0 and standard deviation 1. Simply put, if an examiner asks you to find the probability behind a given positive z-value, you will have to look it up directly on the table knowing that \(P(Z ≤ z) = θ(z)\) when \(z\) is positive. This is the 'bell-shaped' curve of the Standard Normal Distribution. However, the table does this only when we have positive values of \(z\). Using the standard normal distribution table, we can confirm that a normally distributed random variable \(Z\), with a mean equal to 0 and variance equal to 1, is less than or equal to \(z\), i.e., \(P(Z ≤ z)\).
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