Find the variance and standard deviation of the probability distribution ofrandom variable X which can take only the values 2, 4, 5, and 9, given that9.P(2) = TOa113P(4) = P(5) = and P(3) =%3D%3D%3D10'4.Find the yariance and standard deviation of the probability distribution of a3.

Ans# Given a random variable x has the probability distribution P(2) = 920, P(4) = 120,…

Answered: Find the variance and standard…

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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You and your 4 other friends play 5 ranked games in Mobile legends every day for the past few months. As you play with them, you recorded the number of wins you have per day. The table below shows the number of wins you have per day and their corresponding probabilities. Compute the variance. (Round off your final answer to two decimal places. 1 3 4 P(X=x) 0.393 0.262 0.015 0.246 0.002 0.082 Add your answer
The discrete random variable X has the probability distribution given by: 1 2 3 4 P(X: 3v 2v V 0.4 a. Determine the following probability: P(X=1) = ? Answer in exact fraction or exact decimals b. What is the expected value of the random variable X? Answer in exact fraction or exact decimals c. What is the variance of the random variable X? Answer in exact fraction or exact decimals d. Find the expectation of the random variable Y, where Y = 3X – 2 Answer in exact fraction or exact decimals
Q4: The probability mass function of a discrete random variable X is given by the following table: X 1 2 3 4 5 6 P(X) 1/36 3/36 5/36 7/36 9/36 11/36 Find 1- Cumulative distribution function. 2- Draw a graph of the probability mass function and cumulative distribution function. 3- Mean and variance. 4- Standard deviation.
Let T be a random variable. If E(T) = a +60, find an unbiased estimator of 0. Is the mean- squared error (MSE) of an unbiased estimator always smaller than the MSE of a biased estimator? Give an example to support your answer.
Find the variance and standard deviation of the probability distribution of a random variable X which can take only the values 3,5, and 7, given that P(3) 30 P(5) =, and P(7) = 20 13 %3D 2.
If X and Y are independent, normally distributed random variables each with mean 0 and variance 1, then 2X + 2Y: Select one: a. has a normal distribution with mean 2 and variance 10 b. has a normal distribution with mean 2 and variance 8 c. has a normal distribution with mean 0 and variance 10 d. has a normal distribution with mean 0 and variance 8 e. has a normal distribution with mean 0 and variance 5
Q4: The probability mass function of a discrete random variable X is given by the following table: X 1 2 3 4 5 6 P(X) 1/36 3/36 5/36 7/36 9/36 11/36 Find 1- Cumulative distribution function. 2- Draw a graph of the probability mass function and cumulative distribution function. 3- Mean and variance. 4- Standard deviation.
Q4: The probability mass function of a discrete random variable X is given by the following table: X 1 2 3 4 5 6 P(X) 1/36 3/36 5/36 7/36 9/36 11/36 Find 1- Cumulative distribution function. 2- Draw a graph of the probability mass function and cumulative distribution function. 3- Mean and variance. 4- Standard deviation.
solve it properly.
Let a mixed random variable X have the following distribution. Find expectation of X. Find variance of X.
We have the following information regarding the random variables X, X, and X3: Var(X1) = Var(X2) = Var(X3), Px, X2 = 0.2, pxX, = 0.5, px X Calculate the correlation between X+ X3 and X2 + X3. (i.e. calculate px+Xs.X2+X3) 0.9. %3D
Suppose that the number of customers entering a bank in one hour is a Poisson random variable and suppose that P(X=0)=0.02. Find the mean and variance of the variable. X: Number of customers entering a bank in one hour E(X)= Answer (Give the exact answer) V(X)= Answer (Give the exact answer) What is the probability that 5 customers will enter in two hours? Answer: Note: Answer with at least 4 decimal places

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Find the variance and standard deviation of the probability distribution of a random variable X which can take only the values 2, 4, 5, and 9, given that 9. P(2) = P(4) = 3. 3 P(5) == and P(3) = %3D %3D 10