Answer to Question #323961 in Statistics and Probability for cosette

Question

C. Find the probabilities on a standard normal curve.

1. P(-3.0 ˂ z < -1.68)

2. P(-2.76 < z < 2)

3. P(1.53 < z < 2)

Answer 1

$1.\ P(-3.0<z<-1.68)=\\=P(z<-1.68)-P(z<-3.0)=$

$=0.04648-0.00135=0.04513$ ​(from z-table)

$2.\ P(-2.76<z<2)=\\=P(z<2)-P(z<-2.76)=$

$=0.97725-0.00289=0.97436$ ​(from z-table)

$3.\ P(1.53<z<2)=\\=P(z<2)-P(z<1.53)=$

$=0.97725-0.93699=0.04026$ ​(from z-table)