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A. The below graph is a normal distribution. If z=0.75 what is the proportion of

ID: 3201812 • Letter: A

Question

A. The below graph is a normal distribution. If z=0.75 what is the proportion of the observations that would occur in the shaded area? HINT: use the Standard Normal distribution (z-table) in Miethe. Do not round values from the table. Report the answer with four places to the right of the decimal: 0.XXXX

B. Again using the Standard Normal distribution (z-table), what is the probability that a z-score is more than -1.0 Report your answer with four places to the right of the decimal: 0.XXXX

C. Again using the Standard Normal distribution (z-table), what is the probability that a z-score is less than -2.25 (Rounded to four decimal places)? Report your answer with four places to the right of the decimal: 0.XXXX

Explanation / Answer

a) from normal value table

area to the right of z=0.75 ; P(Z<0.75) =0.7734

and area to the left of z=0.75 =1-P(Z<0.75) =0.2266

I have given both as diagram is not visible. Choose as per diagram

b) P(Z>-1) =1-P(Z<-1) =1-0.1587 =0.8413

c) P(Z<-2.25) =0.0122

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