Answered: A premier league football match is 90…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 2GP

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A premier league football match is 90 minutes, but additional time is added on to cater for injuries and other
stoppages. Suppose the average length of a match is 94 minutes with a standard deviation of 5 minutes. Assume
that the duration of matches is normally distributed.

What is the probability that a randomly selected premier league match lasts longer than 100 minutes?

What is the probability that a randomly selected premier league match lasts between 91 minutes and 99
minutes?

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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