Question

Minitab will produce a graph which illustrates and answers problem 1. Right click on the graph and select send graph to Microsoft Word. Keep word document minimized while you finish the other five graphs.

Use Minitab to solve and illustrate the following problems. X has a Normal Distribution with mean 12 and standard deviation 3 1. P(X< 14) 2. P(X> 8) 3. P(4 < X < 17) 4. Find x so that P(X< x) .25 5. Find x so that P(X > x) = .10 6. Find constants a and b so that P(X<a-.05 and P(aeX<b)-.9 Instructions for problem 1. Click Graph> Probability Distribution Plot View Probability. Select Normal Distribution. Mean 12. Standard deviation 3 Click on the shaded area tab. Click define shaded area by x-value. Click on left tail input x-value 14. Click OK

Answer 1

Solu tion Given tha 3 (2<0.67) 6 3 PC233) 46 διο 1,214 16lb 20

ろ P (-2,661 < z < 1 . 667) = P (z L 1.667 )-p (z s-2-667) 6 8 t6 1214 16 18 20 6 a 1,21512 6 12 2.

G ) 3 6 12 8 16 36 3 6 82 S 18