Answered: Given a standardized normal…

Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), determine the following probabilities. a. P(Z>1.02) b. P(Z<−0.25) c. P(−1.96

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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Question

Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), determine the following probabilities. a. P(Z>1.02) b. P(Z<−0.25) c. P(−1.96<Z<−0.25) d. What is the value of Z if only 30.85% of all possible Z-values are larger?

a. P(Z>1.02)=enter your response here (Round to four decimal places as needed.)

Part 2 b. P(Z<−0.25)=enter your response here (Round to four decimal places as needed.)

Part 3 c. P(−1.96<Z<−0.25)=enter your response here (Round to four decimal places as needed.)

Part 4 d. Z=enter your response here (Round to two decimal places as needed.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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