A coin is tossed 5 times. If `X` is the number of heads observed, find the probability distribution of `X`.

Explanation

To find the probability distribution of the random variable \(X\), which represents the number of heads observed when a coin is tossed 5 times, we can use the binomial distribution formula.

### Step-by-Step Solution:

1. **Identify the Parameters**:
- The number of trials \(n = 5\) (since the coin is tossed 5 times).
- The probability of success (getting heads) on a single trial \(p = \frac{1}{2}\).
- The probability of failure (getting tails) on a single trial \(q = 1 - p = \frac{1}{2}\).
...