# What does the random variable X represent?

## 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.

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