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3. Suppose X~N(8,5). (a) Find P(X < 6). Include a sketch of the density (the bell...

3. Suppose X~N(8,5).

(a) Find P(X < 6). Include a sketch of the density (the bell curve) and label the relevant features. That is, make your graph look like my graphs in the lecture note.

(b) Find P(X >7). Include a sketch of the density, etc.

(c) Find the 82nd percentile. Try this using the z-table and also the Excel function. Sketch the density and label relevant features.  

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