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Examples : Mean of a Random Variable Video Lecture | Mathematics (Maths) Class 12 - JEE

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FAQs on Examples : Mean of a Random Variable Video Lecture - Mathematics (Maths) Class 12 - JEE

1. What is the definition of the mean of a random variable?
Ans. The mean of a random variable is the average value that the variable takes on over a large number of trials or observations. It is often denoted as E(X) or μ, and it represents the expected value or the central tendency of the variable's distribution.
2. How is the mean of a random variable calculated?
Ans. To calculate the mean of a random variable, you multiply each possible value of the variable by its corresponding probability and sum up these values. Mathematically, it can be represented as E(X) = ∑(x * P(X=x)), where x represents the values of the random variable and P(X=x) denotes the probability of each value.
3. What does the mean of a random variable indicate?
Ans. The mean of a random variable indicates the average value or the expected value of the variable. It provides information about the central tendency of the variable's probability distribution. For example, if the mean of a random variable is 10, it suggests that, on average, the variable tends to take a value close to 10.
4. Can the mean of a random variable be negative?
Ans. Yes, the mean of a random variable can be negative. The mean is a measure of central tendency and is not restricted to positive values. It depends on the values and probabilities associated with the random variable. If the variable has a higher probability of taking negative values, the mean can be negative.
5. How does the mean of a random variable relate to real-life situations?
Ans. The mean of a random variable is widely used in various real-life situations. It helps in understanding average outcomes, expectations, and predictions. For instance, in finance, the mean return of an investment represents the average return over time. In manufacturing, the mean defect rate indicates the average number of defects per unit. Overall, the mean of a random variable provides valuable insights into the expected behavior and performance of a system or process.
204 videos|288 docs|139 tests

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