# Continuous Random Variables

## Continuous Random Variables

### Key Takeaways

- For a continuous random variable the only probabilities that are computed are those of taking a value in a specified interval.
- The probability that take a value in a particular interval is the same whether or not the endpoints of the interval are included.
- The probability , that take a value in the interval from to , is the area of the region between the vertical lines through and , above the -axis, and below the graph of a function called the density function.
- A normally distributed random variable is one whose density function is a bell curve.
- Every bell curve is symmetric about its mean and lies everywhere above the -axis, which it approaches asymptotically (arbitrarily closely without touching).