The random variable X is the number of occurrences of an event over aninterval of ten minutes. It can be assumed that the probability of anoccurrence is the same in any two time periods of an equal length. It isknown that the mean number of occurrences in ten minutes is 5.3. Theprobability that there are 8 occurrences in ten minutes is0.02410.11260.07710.9107

Average =5.3 X~Poisson (λ) Average =λ=5.3 in ten minutes

Answered: The random variable X is the number of…

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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Let XX represent the full height of a certain species of tree. Assume that XX has a normal probability distribution with μ=8.2ft and σ=38.8ftYou intend to measure a random sample of n=83 trees What is the mean of the distribution of sample means? What is the standard deviation of the distribution of sample means (i.e., the standard error in estimating the mean)? What is the probability that the average height of a random sample of 83 trees is larger than 9.4? Round answer to 4 decimal places.
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22
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