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Probability Part-5 (Random Variable), Mathematics, CSE, GATE Video Lecture - Computer Science Engineering (CSE)

FAQs on Probability Part-5 (Random Variable), Mathematics, CSE, GATE Video Lecture - Computer Science Engineering (CSE)

1. What is a random variable in probability?

Ans. A random variable in probability refers to a variable that can take on different values in a random experiment. It is typically denoted by a capital letter, such as X or Y, and its value depends on the outcome of the experiment. Random variables can be classified as discrete or continuous, depending on whether they take on a countable or uncountable number of values.

2. How is a random variable different from a regular variable?

Ans. A random variable differs from a regular variable in that it represents the numerical outcome of a random experiment. It can take on different values based on the probabilities associated with each outcome, whereas a regular variable typically represents a fixed quantity or value in a given context.

3. What is the probability distribution of a random variable?

Ans. The probability distribution of a random variable defines the likelihood of each possible value that the random variable can take on. It is often represented by a probability mass function (for discrete random variables) or a probability density function (for continuous random variables). The distribution provides a way to understand the chances of different outcomes occurring.

4. How is the expected value of a random variable calculated?

Ans. The expected value of a random variable is calculated by multiplying each possible value of the random variable by its corresponding probability and summing up these products. It represents the average value or mean of the random variable and can be used to make predictions or assess the central tendency of the variable's distribution.

5. Can a random variable have a negative probability?

Ans. No, a random variable cannot have a negative probability. Probabilities must always be non-negative values between 0 and 1. If a random variable has a probability less than 0, it indicates an error or invalid calculation. The probabilities associated with all possible values of a random variable should sum up to 1.

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Sep 27, 2025 Last updated

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