Question

Sketch the region corresponding to the statement P(-c < z < c) = 0.6. Shade: Left of a value Click and drag the arrows to adjust the values -4 -3 -2 0 0.6

I got this one wrong. please help!

Answer 1

Solution

The correct answer is: shade the region from – 0.842 to 0.842 Answer

Explanation

By symmetry property of Normal distribution, P(- t < Z < 0) = P(0 < Z < t). Thus, the given probability becomes: 2 P(0 < Z < c) = 0.6

=> P(0 < Z < c) = 0.3

By interpolation of entries in Standard Normal Probability Table, c = 0.842.

[Table has: P(0 < Z < 0.84) = 0.2995 and P(0 < Z < 0.85) = 0.3023 ]

DONE

[Going beyond,

The shaded region actually represents P(- ∞ < Z < 0.6), which is actually equal to 0.7743]