6.2 Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1, as in Table E.2), what is the probability that a. Z is between -1.57 and 1.84? b. Z is less than -1.57 or greater than 1.84? c. What is the value of Z if only 2.5 percent of all possible Z values are larger? d. Between what two values of Z (symmetrically distributed around the mean) will 68.26 percent of all possible Z values be contained?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Please help for b)c)d)

6.2 Given a standardized normal distribution (with a mean of 0 and
a standard deviation of 1, as in Table E.2), what is the probability that
a. Z is between - 1.57 and 1.84?
b. Z is less than -1.57 or greater than 1.84?
c. What is the value of Z if only 2.5 percent of all possible Z values
are larger?
d. Between what two values of Z (symmetrically distributed around
the mean) will 68.26 percent of all possible Z values be contained?
Transcribed Image Text:6.2 Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1, as in Table E.2), what is the probability that a. Z is between - 1.57 and 1.84? b. Z is less than -1.57 or greater than 1.84? c. What is the value of Z if only 2.5 percent of all possible Z values are larger? d. Between what two values of Z (symmetrically distributed around the mean) will 68.26 percent of all possible Z values be contained?
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