Let the random variable Z have a standard normal distribution. Recall the definition for percentiles Let Z be a standard normal random variable and recall the calculations necessary to construct a box...

Let the random variable Z have a standard normal distribution. Recall the definition for percentiles

Let Z be a standard normal random variable and recall the calculations necessary to construct a box plot.

a. Find the first and third quartiles for a standard normal distribution.

b. Find the inner fences for a standard normal distribution.

c. Find the probability that Z is beyond the inner fences.

d. Find the outer fences for a standard normal distribution.

e. Find the probability that Z is beyond the outer fences.

Compute each probability and carefully sketch a graph corresponding to each expression

 Use technology to compute each probability and to carefully sketch a graph corresponding to each expression.

Use technology to solve each expression for b.