3. Consider a standard normal distribution. a. If z is a standard normal variable, then P(-0.73

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
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3. Consider a standard normal distribution.
a. If z is a standard normal variable, then P(-0.73 <z < 2.27)=0.755.
Describe one strategy to determine the probability P(-0.73 < z < 2.27). Show all of
your work and explain your thinking clearly.
b. Kai incorrectly determined the z-score that represents the 40th percentile as
z=0.40.
Describe Kai's error and correctly determine the z-score that represents the 40th
percentile.
Transcribed Image Text:3. Consider a standard normal distribution. a. If z is a standard normal variable, then P(-0.73 <z < 2.27)=0.755. Describe one strategy to determine the probability P(-0.73 < z < 2.27). Show all of your work and explain your thinking clearly. b. Kai incorrectly determined the z-score that represents the 40th percentile as z=0.40. Describe Kai's error and correctly determine the z-score that represents the 40th percentile.
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