Chapter 6 Section 63 Problem 20e For a standard normal rando

Chapter 6, Section 6.3, Problem 20e

For a standard normal random variable Z, find P[? 1.5 < z < 2.46]. Compute probabilities using the standard normal table in Appendix B (Table 3). Round the answer to four decimal places.

P[? 1.5 < z < 2.46] =

Solution

This is the link for the z-table :

http://www.stat.ufl.edu/~athienit/Tables/Ztable.pdf

P(z < -1.5) = 0.0668

P(z < 2.46) = 0.9931

So, P(-1.5 < z < 2.46) = 0.9931 - 0.0668 --> 0.9263

Answer --> 0.9263