Question

Asked Oct 1, 2019

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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).

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...

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