(a) X1 and X 2(b) X2 and X3(c) (X1,X2) and X3 Let X be N3(µ,E) with µ' = [-3,1,4] and1-2 01-221Which of the following random variables are independent? Explain.

We have to determine which pair of random variables are independent.

Answered: Which of the following random variables…

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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A random variable has CDF What is p₂? F₁ = 0.25, 1, 0, 1, 2 i = 3
ACTIVITY NO. 5: COMPUTING PROBABILITY CORRESPONDING TO A GIVEN RANDOM VARIABLE NAME: . TRACK/STRAND & SEC.: SCORE: (HOW MANY SIBLINGS DO THE LEARNERS HAVE) In your Statistics class, the teacher wants to know the number of siblings the learners have. Teacher: How many of the class have 0 sibling? Class: (There were 2 learners who raised their hands.) Teacher: How many of you has 1 sibling? Class: (There were 10 learners who raised their hands.) This continues until 7 siblings. Suppose that we have the following table of frequencies. Let us use W to represent the number of sibling/s. Probability of the jRandom Variable (W) P(W) 2/50 = 0.04 = 4% 10/50= 0.2% = 20% 28/50=0.56%=56% 5/50=0.1 = 10% 3/50=0.06 6% 1/50=0.02 = 2% W= Number of siblings Frequency %3D 1 10 %3D 28 3 4 3 %3D 1 7 1 1/50-0.02 2% Total
Example Compute the expected value of a Bernoulli random variable.
Draw a driagram of what it means when two events are not mutually exclusive but independent
You currently work for the DARPA, the Defense Advanced Research Projects Agency. You've received reports of some strange things occurring in the small town of Hawkins, Indiana. Let U be a random variable equal to 1 if the citizen has been to the Upside Down and 0 otherwise. Let S be a random variable equal to 1 if a citizen reports being in the presence of a group of misfit kids who claim to be "saving the town" and 0 otherwise The table below shows the joint probability density function for the galactic population Share of Population 0.15 0.32 0.50 0.03 U 0 0 1 1 S 1 0 1 0 Round to 2 decimal places where necessary, unless otherwise stated. Leave your answer in decimals, rather than convert to percentages. A. Evaluate Fu,s (1,0): B. Calculate the share of people who have been to the Upside Down in the population. That is, E(U): C. Calculate the probability of having gone to the Upside Down conditional on meeting this band of misfit kids?. That is, Fus (11):
1. A bank operates a drive-up and walk-up window. Let X = the proportion of the time the drive-up facility is in use and let Y = the proportion of the time the walk-up window is in use. Suppose the operations manager uses the following distribution as the joint pdf based on his historical data: f(x, y) = 5 - 1/2(x + y²) if 0 (x + y²) if 0 ≤ x ≤ 1 and 0 ≤ y ≤1 otherwise (a) Find the marginal pdf for X, fx(x). (b) Find the marginal pdf for Y, fy(y).
q21
What could be the possible values of the random variable below? Number of blood donors in a donation drive x20 x = 1,2, 3,... 05xS 1000 O Not a random variable x 0,1,2, 3,...
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