EXAMPLE 32Expressing areas under the standard normal curve as probabilities

Re-express the following areas as probabilities:

  1. In Example 29, we found the area under the standard normal curve to the right of to be 0.8944.
  2. In Example 30, we found the area under the standard normal curve between and to be 0.6826.

Solution

  1. The probability that is greater than − 1.25 is 0.8944. That is, .
  2. The probability that is between − 1 and 1 is 0.6826. That is, .

NOW YOU CAN DO

Exercises 59–70.