What is the probability that a standard normal variable will be equal to -0.68? .2483 000 1 0 .7517 .5120
What is the probability that a standard normal variable will be equal to -0.68? .2483 000 1 0 .7517 .5120
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:### Probability and Standard Normal Distribution
**Question:**
What is the probability that a standard normal variable will be equal to -0.68?
**Options:**
- ○ 0.2483
- ○ 1
- ○ 0
- ● 0.7517
- ○ 0.5120
**Explanation:**
The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. The probability of the variable being equal to a specific value, however, is technically zero, since we are dealing with continuous data. Instead, probabilities are determined over intervals.
In this context, it seems more likely that the question pertains to the cumulative distribution function (CDF), which gives the probability that the variable is less than or equal to -0.68. The CDF for a standard normal distribution at -0.68 would indeed correspond to one of the probabilities given.
The correct answer marked is 0.7517, which implies that this value represents the probability of the standard normal variable being less than or equal to -0.68 according to this question's context.
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