TheMathNoob said:Homework Statement
I have the joint cdf of two random variables X and Y and they ask me to find the cdf of just Y. I know that you just take the limit of the cdf as x->infinity, but I am just wondering if you can also do this by calculating the joint pdf and then the marginal of Y and then from the marginal of Y, the cdf of Y.
Homework Equations
The Attempt at a Solution
Thank you!, I was so worried about that one in the test.Ray Vickson said:Yes, sometimes that is how it must be done. However, in your case that would be doing it the hard way, since taking the ##x \to \infty## limit is easier.
A random variable is a numerical quantity that can take on different values based on chance or probability. It is often denoted by the letter X and used in mathematical models to represent uncertain outcomes.
A discrete random variable can only take on a finite or countably infinite number of values, while a continuous random variable can take on any value within a certain range. For example, the number of heads in 10 coin flips is a discrete random variable, while the height of a person is a continuous random variable.
The probability distribution of a random variable is determined by the possible values it can take on and their corresponding probabilities. This information can be represented in a table, graph, or mathematical equation.
The expected value of a random variable is the average or mean value that we would expect to see if we repeated the experiment a large number of times. It is calculated by multiplying each possible value by its corresponding probability and summing all of these values.
No, the probability of a random variable cannot be greater than 1. This is because the sum of all possible probabilities must equal 1, since one of those outcomes is certain to occur. If the probability of a certain outcome is greater than 1, it would violate this rule.