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Created 2 years ago

## MA2102

# Probability and Statistics

#### Lecture-9

## Random Variables

Most of the time when we consider a random experiment, we may not be interested in full physical description of the outcome, rather we may be interested in certain numerical characteristic of an outcomes.

Consider the situation of you appearing for GATE exam without any preparation, so it is going to be a random experiment as you can't predict any answer to any question with certainty.

Sample space $\Omega=\{(a_1,a_2,...,a_{65}): a_i\in\{A,B,C,D\} ~\text{for}~$i=1,2,...65$\}$

(For simplicity, we are assuming all 65 questions in GATE are M.C.Q and no negative marking)

$|\Omega|=4^{65}=1361129467683753853853498429727072845824$