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1. [23 pts] Use the normalcdf or invnorm functions on the graphing calculator to answering the...

1. [23 pts] Use the normalcdf or invnorm functions on the graphing calculator to answering the following questions. Show your work. Remember that Z follows the Standard Normal Distribution.

a. [4 pts] ?(? < 0.85)
b. [4 pts] ?(? ≤ 0.85)
c. [2 pts] ?(? = 0.85)
d. [3 pts] What do you notice about the relationship between the three probabilities above? Why is this so?

e. [4 pts] Find the value of x in the following equation: ?(? > ?) = 0.15

f. [4 pts] Find the value of x in the following equation: ?(? ≤ ?) = 0.44
Do not use any calculator functions for part g. Use your understanding of Normal density curves to answer the question.

g. [2 pts] Find the value of x in the following equation: ?(? < ?) = 0 ???????

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