

After pressing 2nd DISTR, press 2:normalcdf. The probability that any student selected at random scores more than 65 is 0.3446.

If the area to the left is 0.0228, then the area to the right is 1 – 0.0228 = 0.9772. The tables include instructions for how to use them. To calculate the probability without the use of technology, use the probability tables provided here. The following video explains how to use the tool. Additionally, t his link houses a tool that allows you to explore the normal distribution with varying means and standard deviations as well as associated probabilities. There are instructions given as necessary for the TI-83+ and TI-84 calculators. Probabilities are calculated using technology. This area is represented by the probability P( X x) = 1 – P( X x) is the same as P( X ≥ x) for continuous distributions.

The shaded area in the following graph indicates the area to the left of
