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Verified Answer :

assuming mean=0 and sd = 1; you want to find the z-score that corresponds to the first 20% of the graph.

The z-score is found in my "z-table" by subtracting 20% from 50% to obtain the distance away from the mean value.

When I look at the z-table in the back of the book, I want to find a number in the middle of the table that is closest to ".3000" (50% - 20% = 30%)

The closest value I find in the field is: .2995. I follow this out to the left (.8) and up to the top (.04) to get the numbers for the z-score: left+top. z-score = .84

This has to be evaluated for its placement. If the z-score is to the left of the mean; we negate it; if its to the right of the mean, we keep it a positive value.

20% is less than 50% so its to the left of our mean: z-score = -.84