Show that the following function satisfies thepropertiesof a joint probability mass function.yfxv (X, y)1.01/41.521/81.531/42.541/43.01/8

Here make joint probability distribution table from x and y value using respective probability…

Answered: Show that the following function…

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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The General Social Survey asked a sample of adults how many siblings (brothers and sisters) they had (X) and also how many children they had (Y). We show results for those who had no more than 4 children and no more than 4 siblings. Assume that the joint probability mass function is given in the following contingency table: y x 0 1 2 3 4 0 0.03 0.01 0.02 0.01 0.01 1 0.09 0.05 0.08 0.03 0.01 2 0.09 0.05 0.07 0.04 0.02 3 0.06 0.04 0.07 0.04 0.02 4 0.04 0.03 0.04 0.03 0.02 Find ρ(X, Y). (Round the final answer to four decimal places.) ρ(X, Y) =
if you are conducting an experiment where the probability of success is 0.02 per day and you are interested in finding the probability of 4 successes in three days, the correct probability function to use is? a) The standard normal probability density function b) any probability as longs as the tables are available c)The poisson probability funtion d)the normal probabilty density function
The waiting time at a local oil changing station is uniformly distributed between 15 and 20 minutes. what values does the probability density function takes on over the interval between 15 to 20?
Consider the experiment of drawing a point uniformly at random from the unit interval [0, 1]. Let Y be the first digit after the decimal point of the chosen number. Explain why Y is discrete and find its probability mass function.
Construct the joint probability mass table of (X,Y)
Assume that 1 out of every 5 adults in a local community is unemployed. Approximatethe probability that in a random sample of 100 adults from the community, more than 25are unemployed. Express your final answer in terms of the standard normal cumulativedistribution function Φ.
Let X be the number of tails in three flips of a fair coin. Let Y be the outcome of a roll of a fair six-sided die. Assume X and Y are independent. Give the joint probability mass function of X,Y. Be precise about the values for which the joint probability mass function is defined.
Suppose that the probability density function of a random variable X is as follows: f(x)= cx, for0<x<4; 0, otherwise. (a) Find c.(b) Find the cumulative distribution function F and sketch it.
The random-number generator on calculators randomly generates a number between 0 and 1. The random variable X, the number generated, follows a uniform probability distribution. (a) Identify the graph of the uniform density function. (b) What is the probability of generating a number between 0.37 and 0.69? (c) What is the probability of generating a number greater than 0.83? ... OA. В. OC. Density 1.2- A Density 1.2- ADensity 1.2- 1- 1. 1- 0.8- 0.8- 0.6- 0.4- 0.2- 0+ 0.8- 0.6- 0.6- 0.4- 0.2- 04 0 0.2 0.4 0.6 0.8 1 0.4- 0.2- X 0- 0.2 0.4 0.6 0.8 1 1.2 1.2 0.2 0.4 0.6 0.8 1 1.2 (b) The probability is (Simplify your answer.) (c) The probability is (Simplify your answer.) B.

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Show that the following function satisfies the properties of a joint probability mass function.