Question: Let X be normally distributed with mean = 120 and standard deviation = 20. [You may find it useful to reference the z table.] a.

Let X be normally distributed with mean = 120 and standard deviation = 20. [You may find it useful to reference the z table.]

a. Find P(X 86). (Round "z" value to 2 decimal places and final answer to 4 decimal places.)

b. Find P(80 X 100). (Round "z" value to 2 decimal places and final answer to 4 decimal places.)

c. Find x such that P(X x) = 0.40. (Round "z" value and final answer to 3 decimal places.)

d. Find x such that P(X > x) = 0.90. (Round "z" value and final answer to 3 decimal places.)

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