Let X be a discrete random variable with probabilities as shown in Table 3.4. Find the thirdcentral moment and the skewness.Table 3.4 Probabilities of XXP(X)011311L621-|431-4

Data given X 0 1 2 3 P(X) 1/3 1/6 1/4 1/4

Answered: Let X be a discrete random variable…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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I need help with question #2 please Homework review
1. Suppose a discrete random variable Xhas probability function given by 5. 10 12 0.13 POX-1) 0.08 0.16 025 16 2y 0.03 005 Solve for y andfind the mean and variance of X.
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3. Let X be the random variable that takes on the integers {0, 1, 2, ..., 15} with equal probabilities. Define a new random variable Y = X + A, where A is a random variable that takes on the values {-1, 0, 1} with equal probabilities. If the RVs X and A are independent, find the mutual information between X and Y.
W is a random variable with probabilities for w= 0,1 P(W = w) = {2h + k for w= 2 %3D 3k for w= 3,4 7 find the values of h and k. 10 (а) If P(W <2) = (b) Construct a probability distribution table for W. 4.
A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspect that the mean number of hours worked per week by software developers, u, is now greater than 44 and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is 47 hours and that the standard deviation is 4 hours. Based on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? H, :0 O
Consider a discrete random variable X that can assume three values 1, 2, and k with respective probabilities 0.5, 0.25, and 0.3. If E(X) = 1.9, what is the value of k? Select one: а. 5 b. 2 с. 1 d. 3 e. 4
Three statistically independent random variables X₁, X₂ and X₂ have mean values X₁ =3, X₂ = 6 and X₂ = -2. Find the mean values of the following functions: 1 2 (a) (b) g(X₁, X₂, X3)= X₁ +3X₂ + 4X3 29 g(X₁, X₂, X3) = X₁X₂X₂ 29
A. Suppose we wish to make an estimate of the proportion of the population that has ever been arrested. We take a random sample of 500 people. In this sample, 10% of the respondents report having ever been arrested. Construct a 95% confidence interval for the proportion of people in the population who have been arrested. 2. Interpret, in words, the meaning of this interval.
Example 2.14. Show the CDF of the random variable X with the following pdf: Sx(2) = lwa(x) Example 2.15. Let X be a random variable with the following pdf: 1. Find its CDF. 2. Evaluate the following probabilities using its CDF and/or pdf. a) P(} 1) c) P(X > }|X < 1)
A fair dice is thrown once. The random variable Y is related to the number B thrown on the dice as follows. If B is even, then Y is half B, otherwise Y is triple B. Find the mode and E(Y). Select one: no mode and E(Y) = - mode = 3 and E(Y) = 4 mode = 2 and E(Y) = mode = 3 and E(Y) = mode = 5 and E(Y) =
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Let X be a discrete random variable with probabilities as shown in Table 3.4. Find the third central moment and the skewness. Table 3.4 Probabilities of X X P(X) 0 3 1 116 2 4 3 4