Random Statistics Question, how many outcomes with multiple variables
A random variable, random quantity, or stochastic variable is a variable whose possible values represent the consequences of random phenomena in probability and statistics. In terms of the value, it accepts, a random variable differs from a traditional variable. It's a function that converts the results of a random process into a numerical value.
Why random variables?
We can pose mathematical problems using random variables.
If we toss five coins and wish to know the answers to questions such as:
1. What are the chances of getting exactly three heads?
2. What are the chances of receiving less than four heads?
3. How likely is it that you'll obtain more than one head?
Then this is how we'd write in general:
• P (probability of getting exactly three heads when we flip a coin five times) (Probability of getting lower than four heads when we flip a coin five times)
• The letter P (Probability of getting more than one head when we flip a coin five times)
However, if we use random variables to represent the above questions, we can write:
1. P(X=3)
2. P(X<4)
3. P(X>1)
In this case, the random Variable X maps the outcomes of the random process (flipping a coin) to numerical values (1 and 0).
The values used to represent the head and tail can be anything; they do not have to be 1 and 0.
We used 1 and 0 to make understanding easier. Another method for assigning numerical values to the outcomes of a random process is as follows:
As a result, we can write X= 1 if the outcome is head and X= 0 if the outcome is tail.
The random Variable X, in this case, maps the outcomes of the random process (flipping a coin) to numerical values (1 and 0).
The values used to represent the head and tail can be anything; they do not have to be 1 and 0.
We used 1 and 0 to make understanding easier. Another method of assigning numerical values to random process outcomes is if the outcome is head then X= 100; X= 50
