When Liam commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 55 minutes and a standard deviation of 4.5 minutes. Out of the 207 days that Liam commutes to work per year, how many times would his commute be between 46 and 60 minutes, to the nearest whole number? At a local restaurant, the amount of time that customers have to wait for their food isnormally distributed with a mean of 24 minutes and a standard deviation of 3minutes. What is the probability that a randomly selected customer will have to waitbetween 17 minutes and 25 minutes, to the nearest thousandth?Statistics Calculator

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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When Liam commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 55 minutes and a standard deviation of 4.5 minutes. Out of the 207 days that Liam commutes to work per year, how many times would his commute be between 46 and 60 minutes, to the nearest whole number?

At a local restaurant, the amount of time that customers have to wait for their food is
normally distributed with a mean of 24 minutes and a standard deviation of 3
minutes. What is the probability that a randomly selected customer will have to wait
between 17 minutes and 25 minutes, to the nearest thousandth?
Statistics Calculator

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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