The probability distribution function of a random variable X is given by `x_i :012` `p_i :3c^34c-10 c^25c-1` Where `c >0` Find : (i) c (ii) `P(X<2)` (ii) `P(1ltXle2)`

Explanation

To solve the problem step by step, we will follow the instructions given in the video transcript.

### Step 1: Find the value of \( c \)

We are given the probability distribution function of a random variable \( X \) as follows:

\[
x_i : 0, 1, 2
...