Consider the discrete random variable X given in the table below. Calculate the mean, variance, and standarddeviation of X.XP(X)0²=J =14512170.14 0.09 0.13 0.57 0.07What is the expected value of X?

A discrete random variable X is a list of each possible value X taken by X with P(X).The discrete…

Answered: Consider the discrete random variable X…

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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Suppose that the PDF for the number of years it takes to earn a Bachelor of Science (B.S.) degree is given in Table P(x) 3 0.05 4 0.40 5 0.30 6 0.15 7 0.10 Table a. In words, define the random variable X. b. What does it mean that the values zero, one, and two are not included for x in the PDF?
The probability distribution of a random variable Y is given below. Y = y 2 4 6 8 P (Y = y) 0.1 0.3 0.4 0.2 Find the expected value of Y , denoted E(Y ). Find the standard deviation of Y . Find the probability that Y is within one standard deviation of its expected Explain why Y does not have a discrete uniform distribution. A population is normally distributed with µ = 138 and sigma = 21. Given a simple random sample of size n = 25, determine the probability that the sample mean, X¯ , will be less than 128.
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Consider the discrete random variable X given in the table below. Calculate the mean, variance, and standard deviation of X. μl = 0²: 0 = II X P(X) 2 3 6 0.14 0.39 0.1 What is the expected value of X? 10 13 15 18 0.08 0.14 0.08 0.07 (All answers should be rounded to one more decimal place than the raw data.) (Round to one decimal place.)
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Consider the discrete random variable X given in the table below. Calculate the mean, variance, and standard deviation of X. fl= 02 o= X P(X) 1 4 5 12 17 0.14 0.09 0.13 0.57 0.07 What is the expected value of X?