Answered: We assemble a large part by joining two…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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We assemble a large part by joining two smaller parts
together. In the past, the smaller parts we have produced
have had a mean length of 1 and a standard deviation of
.01. Assume that the lengths of the smaller parts are
normally distributed and are independent.
a What fraction of the larger parts are more than 2.05
in diameter?
b What fraction of the larger parts are between 1.96
and 2.02 in diameter?

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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