Rutherford, L Quiz 5 Zisa standard normal variable. For each problem below, dete

Question

Rutherford, L Quiz 5 Zisa standard normal variable. For each problem below, determine either the probability associated withthe given z values: or given the probability, determine the corresponding zvalue. To receive full credit, please Use the normal distribution curves provided for each case to shade the corresponding area for each probability range; and Show your work (calculations) based on the attached Table ofStandard Normal Probabilities. 1. What is the probability ofz when it equals exactly 0? 5die 2. P( 2-4 szs -2.0)-

Explanation / Answer

1) 0.5

2)P(-2.4<Z<-2) =0.02275-0.0082=0.0145

3)P(Z<1.63)=0.9484

4)P(Z>z)=0.0749 hence z=1.44

5)for area to be 0.8664 ; z will be located at (0.5+(1-0.8644)/2 =0.9332)

for which -z =-1.5 and z=1.5

6)P(X<250)=P(Z<(250-385)/100)=P(Z<-1.35)=0.0885

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