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Section I 1. Consider a discrete random variable X with pmf summarized in the table below. -3 4. f(x) 0.45 0.3 0.25 (a) deviation o of X. Compute the mean µ, the variance o?, and the standard

Section I 1. Consider a discrete random variable X with pmf summarized in the table below. -3 4. f(x) 0.45 0.3 0.25 (a) deviation o of X. Compute the mean µ, the variance o?, and the standard

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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(c) Find the probability that \( X \) is within one standard deviation of its mean, i.e., find \( P(\mu - \sigma < X < \mu + \sigma) \).
Transcribed Image Text:(c) Find the probability that \( X \) is within one standard deviation of its mean, i.e., find \( P(\mu - \sigma < X < \mu + \sigma) \).
**Section I** 1. Consider a discrete random variable \( X \) with pmf summarized in the table below. \[ \begin{array}{|c|c|c|c|} \hline x & -3 & 2 & 4 \\ \hline f(x) & 0.45 & 0.3 & 0.25 \\ \hline \end{array} \] (a) Compute the mean \( \mu \), the variance \( \sigma^2 \), and the standard deviation \( \sigma \) of \( X \).
Transcribed Image Text:**Section I** 1. Consider a discrete random variable \( X \) with pmf summarized in the table below. \[ \begin{array}{|c|c|c|c|} \hline x & -3 & 2 & 4 \\ \hline f(x) & 0.45 & 0.3 & 0.25 \\ \hline \end{array} \] (a) Compute the mean \( \mu \), the variance \( \sigma^2 \), and the standard deviation \( \sigma \) of \( X \).
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