If Z is a random variable from a standard normal distribution and if P(Z < d) = 0.65, then P(Z < - d) = 0.35. True False

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 7E
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Are these two statements true or false?
If Z is a random variable from a standard normal distribution and if P(Z < d) = 0.65, then
P(Z < – d) = 0.35.
True
False
Transcribed Image Text:If Z is a random variable from a standard normal distribution and if P(Z < d) = 0.65, then P(Z < – d) = 0.35. True False
Since the area under the normal curve within two standard deviations of the mean is 0.95, the area
under the normal curve that corresponds to values greater than 2 standard deviations above the
mean is 0.05.
True
False
Transcribed Image Text:Since the area under the normal curve within two standard deviations of the mean is 0.95, the area under the normal curve that corresponds to values greater than 2 standard deviations above the mean is 0.05. True False
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