The aim of this question is to understand the key concept of a random variable using the coin toss experiment which is the most basic binomial (experiment with two possible outcomes) experiment performed in probability theory.
A random variable is nothing but a mathematical formula used to describe the outcome of statistical experiments. For example,
The concept of random variables is essential for understanding the further key concepts of process probability and its functions.
Expert Answer
Let:
And:
Then, the no. of heads can be found using following formula:
Since
Thus possible values of
Numerical Result
Example
A coin is tossed 100 times and tail came up in 45 experiments. Find the value of
For this case:
Hence:
Which is the value of