Answer to Question #303964 in Statistics and Probability for kristel Tabil

Question

Use the five step process to determine each of the following areas

1. Between z = 0 and z = 2.67

2. Between z = -0.78 and z = -1.95

3. Between 1.27 and z = -2.1

4. To the right of z = 0.33

5. to the Left z = 1.96

Answer 1

1.

$$P(0<Z<2.67)=P(Z<2.67)-P(Z\le 0)$$

$$\approx0.9962074-0.5\approx0.496207$$

2.

$$P(-1.95<Z<-0.78)$$

$$=P(Z<-0.78)-P(Z\le -1.95)$$

$$\approx0.2176954-0.0255881\approx0.192107$$

3.

$$P(-2.1<Z<1.27)$$

$$=P(Z<1.27)-P(Z\le -2.1)$$

$$\approx0.8979577-0.0178644\approx0.880093$$

4.

$$P(Z>0.33)=1-P(Z\le0.33)$$

$$\approx0.370700$$

5.

$$P(Z<1.96)\approx0.975002$$