Chapter 5.3, Problem 34LM

a.

To determine

Draw the rough graph for the distribution of x, and locate $\mu$ and $\mu \pm 2\sigma$ on the graph.

Find the probability $P\left(\mu -2\sigma \le x\le \mu +2\sigma \right)$.

b.

To determine

Find the probability $P\left(x\ge \mu +2\sigma \right)$.

c.

To determine

Find the probability $P\left(x\le 92\right)$.

d.

To determine

Find the probability $P\left(92\le x\le 116\right)$.

e.

To determine

Find the probability $P\left(92\le x\le 96\right)$.

f.

To determine

Find the probability $P\left(76\le x\le 124\right)$.