Consider the following discrete probability distribution.\[\begin{array}{|c|c|c|c|c|c|}\hlinex & 1 & 2 & 3 & 5 & 8 \\\hlineP(x) & 0.1 & 0.4 & 0.3 & 0.1 & 0.1 \\\hline\end{array}\]a. Graphically depict this probability distribution. (Draw a probability histogram.)b. What is the probability that the random variable \( x \) is between 4 and 10?c. What is the probability that the random variable \( x \) is less than 3? d. Construct a cumulative probability distribution.e. Compute \( E(X) \), the expected value of \( x \). Show your work with a table similar to the one on page 62 of the course packet or page 230 of the textbook. You can enter the numbers in Excel and use Excel to construct a table.f. Compute \( \sigma^2 \) (the variance of \( x \)) and \( \sigma \) (the standard deviation of \( x \)). Show your work with a table. Your answer in parts e and f can be in one table.

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Answered: Consider the following discrete…

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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