What is the sum of the probabilities of a random variable?
Question: What is the sum of the probabilities of a random variable?
The sum of the probabilities of a random variable is always equal to 1. This is known as the probability rule of a random variable and is a fundamental principle of probability theory.
In probability theory, a random variable is a variable that can take on different values with a certain probability. The sum of the probabilities of all possible values that a random variable can take on must always equal 1. This is because the probability of an event occurring must be between 0 and 1, inclusive, and since the random variable must take on some value, the probabilities of all possible values must add up to 1.
For example, if we have a random variable X that can take on the values 1, 2, 3, and 4 with probabilities 0.2, 0.3, 0.1, and 0.4, respectively, then the sum of the probabilities is:
0.2 + 0.3 + 0.1 + 0.4 = 1
This means that the random variable X must take on one of these values with a total probability of 1.
Rjwala is your freely Ai Social Learning Platform. here our team solve your academic problems daily.
0 Komentar
Post a Comment