Data collected at Tornonto Pearson International Airport suggests that an exponential distributionwith mean value 2.74 hours is a good model for rainfall duration. Round all answers to 4 decimalplaces.a) What is the probability that the duration of a particular rainfall event at this location isat least 3 hours?at most 6 hours?between 3 and 6 hours?b) What is the probability that rainfall duration exceeds the mean value by more than 1 standarddeviation(s)?What is the probability that it is less than the mean value by more than 1 standard deviation?

mean value 2.74 hours the rate parameter of the distribution is λ=12.74=0.3650

Answered: Data collected at Tornonto Pearson…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A student's commute to school is normally distributed with a mean of 29 min and a standard deviation of 4 min. What is the probability that the student gets to school in 21 to 29 min? (Round your answer to one decimal place.)
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Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 200 feet and a standard deviation of 46 feet. Let X = distance in feet for a fly ball. If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 180 feet? (Round your answer to four decimal places.)
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