Question

How do you calculate a normal distribution area when shaded to teh right of the mean?You can write steps or show me an example

Answer 1

Step-by-step explanation:

When the normal distribution is is shaded to the right of the mean, we have the probability P(0 < Z < z) where z is a positive number. It can be represented with the following

So, the following probabilities are calculated:

P(Z < z) = 0.5 + P(0 < Z < z)

Where z is positive, and P(0 < Z < z) is the probability given by the table.

P(Z > z) = 0.5 - P(0 < Z < z)

Where z is positive, and P(0 < Z < z) is the probability given by the table.

P(Z < -z) = 0.5 - P(0 < Z < z)

Where -z is negative and P(0 < Z < z) is the probability given by the table.

P(Z > -z) = 0.5 + P(0 < Z < z)

Where -z is negative and P(0 < Z < z) is the probability given by the table.