Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete parts (a) through Click here to view page 1 of the cumulative standardized normal distribution table. Click here to view page 2 of the cumulative standardized normal distribution table. a. What is the probability that Z is less than 1.53? The probability that Z is less than 1.53 is 0.937. (Round to four decimal places as needed.) b. What is the probability that Z is greater than 1.87? The probability that Z is greater than 1.87 is 0.0307. (Round to four decimal places as needed.) c. What is the probability that Z is between 1.53 and 1.87? The probability that Z is between 1.53 and 1.87 is 0.0323. (Round to four decimal places as needed.) d. What is the probability that Z is less than 1.53 or greater than 1.87? The probability that Z is less than 1.53 or greater than 1.87 is (Round to four decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete parts (a) through
Click here to view page 1 of the cumulative standardized normal distribution table.
Click here to view page 2 of the cumulative standardized normal distribution table.
a. What is the probability that Z is less than 1.53?
The probability that Z is less than 1.53 is 0.937.
(Round to four decimal places as needed.)
b. What is the probability that Z is greater than 1.87?
The probability that Z is greater than 1.87 is 0.0307.
(Round to four decimal places as needed.)
c. What is the probability that Z is between 1.53 and 1.87?
The probability that Z is between 1.53 and 1.87 is 0.0323.
(Round to four decimal places as needed.)
d. What is the probability that Z is less than 1.53 or greater than 1.87?
The probability that Z is less than 1.53 or greater than 1.87 is
(Round to four decimal places as needed.)
Transcribed Image Text:Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete parts (a) through Click here to view page 1 of the cumulative standardized normal distribution table. Click here to view page 2 of the cumulative standardized normal distribution table. a. What is the probability that Z is less than 1.53? The probability that Z is less than 1.53 is 0.937. (Round to four decimal places as needed.) b. What is the probability that Z is greater than 1.87? The probability that Z is greater than 1.87 is 0.0307. (Round to four decimal places as needed.) c. What is the probability that Z is between 1.53 and 1.87? The probability that Z is between 1.53 and 1.87 is 0.0323. (Round to four decimal places as needed.) d. What is the probability that Z is less than 1.53 or greater than 1.87? The probability that Z is less than 1.53 or greater than 1.87 is (Round to four decimal places as needed.)
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