Experiment X is consist of drawing two balls from a basket containing 13 blue and 5 red balls. Experiment Y in extracting one more ball from the same basket. What the entropy H(y) of experience Y and the conditional entropy H(Y/X) of this experience?

Experiment X is consist of drawing two balls from a basket containing 13 blue and 5 red balls. Experiment Y in extracting one more ball from the same basket. What the entropy H(y) of experience Y and the conditional entropy H(Y/X) of this experience?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Example 4-28. (Buffon's Needle Problem). A vertical board is ruled with horizontal parallel lines at constant distance 'a' apart. A needle of length l (< a) is thrown at random on the table. Find the probability that it will intersect one of the lines.
A computer can provide you an infinite sequence of random integer numbers between 1 and 5 with the probability mass function P(X=x)=1/5 for x ∈ {1,2,3,4,5}.Using only this random sequence provided by the computer, generate a random sequence of integer numbers between 1 and 7 with the probability mass functionP(Y=y)=1/7 for y ∈ {1,2,3,4,5,6,7}.
Experiment No. 3 Entropy rate Procedure: 1- Input the probability of all events. 2- Input the period of each event. 3- Calculate the source entropy. 4- Calculate the average time. 5- Calculate the source entropy rate. Clc; Mahmoc Clear; Px= [0.65 0.35]; t =[0.2 0.8]; Hx= - sum(px * log2 (px)); t = sum (t*px); Rx =Hx/t;
+
If λ = 6 per hour and μ = 6 per hour in an (M/M/1): (5/FIFO) model, find the probability that there is no customer in the system.
Question 5. A professor decides to run an experiment to measure the effect of time pressure on final exam scores. He gives each of the 400 students in his course the same final exam, but some students have 90 minutes to complete the exam while others have 120 minutes. Each students is randomly assigned one of the examination times based on the flip of a coin. Let Y, denote the number of points scored on the exam by the ith student (0 ≤ Y ≤ 100), let X, denote the amount of time that the student has to complete the exam (X, = 90 or 120), and consider the regression model Yi = Bo + BiXitu. (1) Explain what the term u, represents. Why will different students have different values of ui? (2) Explain why E(u₁|X₁) = 0 for this regression model. (3) The Least Squares Assumptions Yi Bo + B₁Xi + Ui, i = 1,..., n, where I The error term u, has conditional mean zero given X₂: E(ui Xi) = 0; II (X₁, Yi), i 1,, n, are independent and identically distributed (i.i.d.) draws from their joint…
Old Faithful is a geyser located in Yellowstone National Park in Wyoming, USA. Millions of travelers come from afar to witness Old Faithful's eruptions each year. The data provided show the waiting time until the next eruption for 272272 Old Faithful eruptions in 1990. Suppose that prior to 1990, travelers to Yellowstone are told that Old Faithful is expected to erupt, on average, every 6969 minutes, and park scientists believe that this average is no longer true. Suppose that, based on historical data available over several decades, the scientists are comfortable assuming that all eruption waiting times have a known standard deviation of 17.24817.248 minutes. 54 74 62 85 55 88 85 51 85 54 84 78 47 83 52 62 84 52 79 51 47 78 69 74 83 55 76 78 79 73 77 66 80 74 52 48 80 59 90 80 58 84 58 73 83 64 53 82 59 75 90 54 80 54 83 71 64 77 81 59 84 48 82 60…
Two real numbers, x and y, are randomly selected, both from the interval [0, 10]. What is the probability that, at the same time, their sum is less than 7 and the absolute value of their difference is greater than 2?
Find the method of moments estimators of an non-zero MA(1) process.
Consider a nano ring consists of total 12 atoms as shown below. A black atom is initially placed at the outer rim of the ring as shown in the figure below. The black atom can randomly jump (with equal probability) from atom to atom along the outer side of the ring on either side as shown by the arrows. When the black atom passes by the grey atom, it emits a pulse of light with intensity I,. Compute the total average intensity of light emitted by the black atom in 15 jumps.