find the value of z such that 0.09 of the area lies to the right of z

first we'll find the value of z such that 0.09 of the area lies to the left of z, because that is how the z-tables are structured.

z = -1.340755

By symmetry, the opposite of this value will give us the area that lies to the right of z.

So z = 1.34

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