How do you find the number of possible values for the random variable X?

Step 1: List all simple events in sample space. Step 2: Find probability for each simple event. Step 3: List possible values for random variable X and identify the value for each simple event. Step 4: Find all simple events for which X = k, for each possible value k.

What is X in random variable?

A random variable is a numerical description of the outcome of a statistical experiment. For a discrete random variable, x, the probability distribution is defined by a probability mass function, denoted by f(x). This function provides the probability for each value of the random variable.

What is the random variable X and the possible values that X can take?

The probability distribution of a random variable x tells us what the possible values of x are and what probabilities are assigned to those values. A discrete random variable has a countable number of possible values.

How did you find random variable?

Random variables are denoted by capital letters. If you see a lowercase x or y, that’s the kind of variable you’re used to in algebra. It refers to an unknown quantity or quantities. If you see an uppercase X or Y, that’s a random variable and it usually refers to the probability of getting a certain outcome.

What are the types of random variables?

There are two types of random variables, discrete and continuous.

What is a sequence of random variables?

In sum, a sequence of random variables is in fact a sequence of functions Xn:S→R. Example. Consider the following random experiment: A fair coin is tossed once. Here, the sample space has only two elements S={H,T}.

What is a random variable give an example?

A typical example of a random variable is the outcome of a coin toss. Consider a probability distribution in which the outcomes of a random event are not equally likely to happen. If random variable, Y, is the number of heads we get from tossing two coins, then Y could be 0, 1, or 2.