Answered: Given a sample with a mean of 175 and a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Given a sample with a mean of 175 and a standard deviation of 40, calculate the following probability using Excel. Notice this is not a standard normal distribution. Recall that Pr(X>x) = 1- Pr(X<x). Round your answer to three decimal places e.g. 0.132

Pr(146 < X < 197)

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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