Answer to Question #309741 in Statistics and Probability for cosette

Question

Determine each of the following areas and show these graphically.

1. to the right of z = 1.1

2. between z = -2 and z = -1.5

Answer 1

1 The area z>1.1 is

$P(Z>1.1)=1-P(Z<1.1)$

$=1-0.8643$

$=0.1357$

2 The area between -1.5 and -2

$P(-2<Z<-1.5)=P(Z<-1.5)-P(Z<-2)$

$=0.0668-0.0228$

$=0.044$