Given that z is a standard normal random variable compute th

Given that z is a standard normal random variable, compute the following probabilities (to 4 decimals).

Solution

Z~N(0,1)

a) P[-1.96<Z<0.43]=P[Z<0.43]-P[Z<-1.96]=0.666402-0.0249979=0.6414041 [using minitab] [answer]

b)P[0.54<Z<1.27]=P[Z<1.27]-P[Z<0.54]=0.897958-0.705401=0.192557 [using minitab] [answer]

c) P[-1.77<Z<-1.02]=P[Z<-1.02]-P[Z<-1.77]=0.153864-0.0383636=0.1155004 [using minitab] [answer]