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).