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Sum

Find the probability distribution of number of heads in two tosses of a coin,

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#### Solution

Let X denote the number of heads.

Sample space of the experiment is

S = {HH, HT, TH, TT}

The values of X corresponding to these outcomes are as follows.

X(HH) = 2

X(HT) = X(TH) = 1

X(TT) = 0

∴ X is a discrete random variable that can take values 0, 1, 2.

The probability distribution of X is then obtained as follows:

X |
0 | 1 | 2 |

P(X = x) |
`(1)/(4)` | `(2)/(4)` | `(1)/(4)` |

Concept: Probability Distribution of Discrete Random Variables

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