Probability and Standard Normal Distribution

Please explain how to set up and solve:
mean= 0
standard deviation= 1

p(-0.35 < z < 2.35)=____

p(-0.65 < z< 0.65)=_____

p(-0.30 < z < 1.00)= ____

p(-1.96 < z < 2.60)=____

Hello student,

Since on this problem

mean= 0
standard deviation= 1

We know the intention is for us to consult standard tables. Your textbook should have a “Standard Normal Table” although the name may slightly vary and the values may have three or four decimal places. Use your book’s table for your homework.

In this example I will use the one from Wikipedia: …

This solution explains how to calculate unit normal probabilities in the form of p (-1.96 < z < 2.60) from a table and checking with a calculator using values of mean=0 and standard deviation=1.