use the standard normal distribution to find p(-2.25 < z < 0). click here to view page 1 of the standard…

Explanation:

Step1: Recall properties of standard - normal distribution

The standard - normal distribution has a mean of 0 and a standard deviation of 1. The total area under the curve is 1. Also, the distribution is symmetric about (z = 0). We know that (P(Z\lt0)=0.5) and we can use the standard - normal table to find (P(Z\lt - 2.25)).

Step2: Look up values in the standard - normal table

From the standard - normal table, (P(Z\lt - 2.25)) corresponds to the area to the left of (z=-2.25). Looking up the value in the table, we find that (P(Z\lt - 2.25)=0.0122).

Step3: Calculate (P(-2.25\lt Z\lt0))

We use the formula (P(-2.25\lt Z\lt0)=P(Z\lt0)-P(Z\lt - 2.25)). Since (P(Z\lt0) = 0.5) and (P(Z\lt - 2.25)=0.0122), then (P(-2.25\lt Z\lt0)=0.5 - 0.0122=0.4878).

Answer:

A. 0.4878