# How do you find the expected value of a continuous random variable?

## How do you find the expected value of a continuous random variable?

μ=μX=E[X]=∞∫−∞x⋅f(x)dx. The formula for the expected value of a continuous random variable is the continuous analog of the expected value of a discrete random variable, where instead of summing over all possible values we integrate (recall Sections 3.6 & 3.7).

## How do you find the expected number of time?

The basic expected value formula is the probability of an event multiplied by the amount of times the event happens: (P(x) * n). The formula changes slightly according to what kinds of events are happening.

How do you find the expected value of a continuous uniform distribution?

The More Formal Formula You can solve these types of problems using the steps above, or you can us the formula for finding the probability for a continuous uniform distribution: P(X) = d – c / b – a. This is also sometimes written as: P(X) = x2 – x1 / b – a.

### Is time a continuous random variable?

Time is a continuous variable. You could turn age into a discrete variable and then you could count it. For example: A person’s age in years.

### What is the probability of a continuous random variable?

zero
A continuous random variable can take on an infinite number of values. The probability that it will equal a specific value (such as a) is always zero.

What is the expected value of a continuous random variable?

Expected value of a continuous random variable : Expected value or Mathematical Expectation or Expectation of a random variable may be defined as the sum of products of the different values taken by the random variable and the corresponding probabilities. For example, if a continuous random variable takes all real values between 0 and 10,…

#### How to calculate expected value?

To calculate expected value, with expected value formula calculator, one must multiply the value of the variable by the probability of that value is occurring. For example, five players playing spin the bottle.

#### What is the EV (expected value)?

It uses the probabilities with different models to examine the possible outcomes for the purposed investment. The EV is also known as expectation, mean or first moment. It can be calculated for single variables (discrete or continuous) & multiple variables (discrete or continuous).