Question

Suppose Z follows the standard normal distribution. Calculate the following probabilities using the ALEks calculator. Round your responses to at least three decimal places: (a) P(z>-2.03)=.

Answer 1

To calculate the probability P(z>-2.03), subtract the cumulative probability from 1.

Step-by-step explanation:

To calculate the probability P(z>-2.03), you can use the standard normal distribution table or a calculator. The area under the standard normal curve to the left of the z-score represents the cumulative probability. However, since we want the probability to the right of -2.03, we will subtract the cumulative probability from 1.

Using a calculator, you can find that the cumulative probability for z=-2.03 is approximately 0.9788. Subtracting this value from 1 gives us the probability P(z>-2.03), which is approximately 0.0212.