Let X be normally distributed with mean μ = 1.6 and standard deviation σ = 2.7. [You may find it useful to reference the z table.] a. Find P(X > 6.5). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(5.5 ≤ X ≤ 7.5). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find x such that P(X > x) = 0.0668. (Round "z" value and final answer to 3 decimal places.) d. Find x such that P(x ≤ X ≤ 1.6) = 0.3531. (Negative value should be indicated by a minus sign. Round "z" value and final answer to 3 decimal places.)
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