Question

solve for the proportion of the area of the following probability notations then sketch the normal curve shading the required region of each given notation

1. P (-2 < z <1)

2. P (z > 3)

3. P (z < -2)

4. P (z > -1.5)

5. P (z = -1)

Answer 1

1.

$$P (-2 < z <1)=P(z<1)-P(z\le -2)$$

$$\approx0.84134-0.02275\approx0.8186$$

2.

$$P (z>3)=1-P(z\le3)$$

$$\approx0.00135$$

3.

$$P ( z <-2)\approx0.02275$$

4.

$$P (z>-1.5)=1-P(z\le-1.5)$$

$$\approx0.9332$$

5.

$$P (z=-1)=0$$