Answer to Question #253174 in Statistics and Probability for Norhana

Question #253174

P(-2.81>z>1.05)=


1
Expert's answer
2021-10-21T12:02:52-0400

P(2.81<z<1.05)=P(z<1.05)P(z<2.81)P(-2.81<z<1.05)=P(z<1.05)-P(z<-2.81)


From Standard Normal Distribution Table,

P(z < 1.05) = 0.85314

P(z < -2.81) = 0.00248


    P(z<1.05)P(z<2.81)=0.853140.00248=0.85066\implies P(z<1.05)-P(z<-2.81)= 0.85314-0.00248 = 0.85066

Hence, P(2.81>z>1.05)=0.85066\boxed{P(-2.81>z>1.05)=0.85066}


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