## What does the random variable X represent?

A random variable, usually written X, is a variable whose possible values are numerical outcomes of a random phenomenon. There are two types of random variables, discrete and continuous.

**What are the possible values of each random variable X if it represents the number of heads in tossing a coin thrice?**

If X represents the number of heads that will result from the 3 tosses, X can be 0, 1, 2, or 3 based on the above outcome (that is, 0 heads can result, 1 head can result, 2 head can result or 3 head can result). The sum of all probabilities in a probability distribution should be 1, which is true in our case.

### What are the possible values of the random variable for the number of heads?

X = “The number of Heads” is the Random Variable. In this case, there could be 0 Heads (if all the coins land Tails up), 1 Head, 2 Heads or 3 Heads. But this time the outcomes are NOT all equally likely.

**Which of the following value of a random variable signifies the spread of the data?**

3. Which of the following of a random variable is a measure of spread? Explanation: Densities with a higher variance are more spread out than densities with a lower variance. Explanation: Standard Deviation (SD) is the measure of spread of the numbers in a set of data from its mean value.

## What are the possible value of the random variable for the number of tails?

The possible number of tails is: 0,1,2,3,4. Those are the values that Y can take.

**What must be the value of the probability of each random variable?**

The probability of each value of a discrete random variable is between 0 and 1, and the sum of all the probabilities is equal to 1.

### What are the possible values of the random variable Z?

The possible values for Z will thus be 1, 2, 3, 4, 5, and 6. The probability of each of these values is 1/6 as they are all equally likely to be the value of Z.

**Which of the following are the values of random variable z representing the number of heads that occur if four coins are tossed?**

Any 1 of the 4 outcomes is ‘Tail’ and the remaining three are ‘Head’ Hence, Z = 3 Z=3 Z=3 in this case. All the four outcomes are ‘Head’. So number of heads is 4.

## What is a random variable associated with a probability experiment?

A random variable is a function, which assigns unique numerical values to all possible outcomes of a random experiment under fixed conditions. A random variable is not a variable but rather a function that maps events to numbers.

**What is the random variable What are its possible values and are its values numerical?**

What is the random variable, what are its possible values, and are its values numerical? The random variable is x, which is the number of girls in three births. The possible values of x are 0, 1, 2, and 3. The values of the random value x are numerical.

### What are the possible values of random variable for the number of heads?

**Which of the following is a random variable whose possible values can be counted?**

A discrete random variable has a countable number of possible values.