# A fair coin is tossed 3 times. Let the random variable X denote the total number of heads that appear squared plus 2. For example X(HHT) = 22 + 2 = 6.Find E(X).

Question
16 views

A fair coin is tossed 3 times. Let the random variable X denote the total number of heads that appear squared plus 2. For example X(HHT) = 22 + 2 = 6.

Find E(X).

check_circle

Step 1

Consider a random variable X which represents the total number of heads that appear squared plus two when a coin is tossed 3 times.

Since the coin is tossed 3 times, total number of heads that appears can be 0 , 1 , 2 ,3

Therefore, X can take following values:

Step 2

The probabilities for different values of X can be calculated as:

Step 3

The probability distributio...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

### Random Variables 