Uniman said:
A random variable is a quantity that takes on different numerical values with a certain probability in a given situation or experiment. It is usually denoted by the letter "X" and can represent various outcomes or events.
To solve for a random variable, you need to determine its probability distribution, which describes the likelihood of each possible outcome. This can be done by creating a probability density function or a cumulative distribution function, depending on the type of random variable.
This statement means that the probability of the random variable taking on a value between 0 and infinity is 0.002. In other words, the likelihood of the random variable being within this range is very low.
No, a random variable can never have a value of exactly 0 or infinity. These values are considered to be impossible outcomes, and the probability of them occurring is 0. However, the random variable can approach these values as the number of trials or experiments increases.
Solving for a random variable allows scientists to make predictions and draw conclusions about the likelihood of certain outcomes or events. It can also help in analyzing and understanding data, as well as in designing experiments and making decisions based on probability.
