Question
An unbiased coin is thrown thrice. If the random variable X denotes the number of heads obtained, describe the probability distribution of X.
Or
A coin is tossed three times. Getting a H “head” is a success. If x denotes the number of successes, find the probability distribution of x.
Solution
Here X denotes the number of heads obtained in three tosses of a coin. Thus X can take the values 0, 1, 2, 3.
Let p be the probabilities of getting a head and q be the probability of not getting a head,
∴ probability distribution table is
