Answer to Question #306348 in Statistics and Probability for rk001

Question

Find the area or region that corresponds to each of the following z values. Sketch

and label each curve.

1. to the right of z = 2.18

2. below z= -1.40

3. above z= 0.57

4. between z = -2.34 and z = 1.57

5. between z = 0.32 and z = 2.42

Answer 1

1) $P(Z>2.18)=1-P(Z<2.18)=0.0146.$

2) $P(Z<-1.40)=0.0808.$

3) $P(Z>0.57)=1-P(Z<0.57)=0.2843.$

4) $P(-2.34<Z<1.57)=P(Z<1.57)-P(Z<-2.34)=0.9322.$

5) $P(0.32<Z<2.42)=P(Z<2.42)-P(Z<0.32)=0.3667.$