Answered: It's 75 degrees and sunny here in San…

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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5 It's 75 degrees and sunny here in San Diego this afternoon...," the weatherman droned on, repeating a phrase that probably should have been recorded and played on an endless loop. Tim looked at the previous year's high temperatures and noted that the average was 78 degrees with a standard deviation of 1 degrees and approximated a normal distribution. Armed with this evidence, determine: (a) the probability of a daily temperature between 78 degrees F and 79 degrees F. (b) the probability that the daily temperature exceeds 78 degrees F. (c) the probability that the daily temperature is below 78 degrees F.

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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