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Standard Normal Curve (Z-score) Assignment
1
Use the standard normal table to determine the answers to these questions. In each case draw the
standard normal curve and shade the area discussed in the questions. Answer the questions using
the standard normal distribution table. Show any calculations that lead to your answer. Answers
can be checked using the normalcdf(… function on your graphing calculator.
24 marks
a)
Probability that z < 0
b)
Prob (z < -1.23)
c)
P (z < 1.23)
d)
P (z > 2.3)
e)
P (-1.02 < z < -0.11)
f)
P (z < -2.03 or z > 1.99)
g)
P (|z| > 1.53)
h)
P (|z| <.78)
i)
If the probability that z < a is 18.14% then a = ?
j)
Find a z-score so that 30.15% of all z-scores are higher.
k)
Find the z-scores that bound the middle 52.22% of all scores.
l)
Find the z-score that is the cut off for the bottom 5.26% of all scores.