The number of people arriving per hour at the emergency room (ER) of a local hospital seeking medical attention can be modeled by the Poisson distribution, with a mean of 15 people per hour.The inter-arrival time, X, is defined as the time that passes between successive arrivals of patients seeking medical attention.(a) It has been 4 minutes since the last person seeking medical attention arrived at the ER. What is the probability that at least 9 minutes (in total) will pass until the next medical-attention-seeking person passes through the ER doors? Use four decimals in your answer. A certain section of a Northern Alberta forest is undergoing a pine-beetle infestation. A biologist has determinedthat the number of pine-beetle infected trees fluctuates from acre to acre, with an average of 10.6 pine-beetleinfected trees per acre.(c) As a way to combat the infestation, the infected trees are to be sprayed with an insecticide at a cost of $3 forevery tree infested with pine beetle(s), plus an overhead fixed cost of $60 for equipment rental. Letting Costrepresent the total cost for spraying all the pine-beetle infested trees for a randomly chosen acre of forest.Find the expected cost of spraying an acre. In addition, find the standard deviation in the cost of spraying anacre.E(Cost) = $ 81.8(use two decimals)SD(Cost) = $ 9.7673(use two decimals) The number of people entering a security check-in lineup in a 15-minute interval at a medium sized airport can be modeled by the following probability model:P(X = x) =e 1"(17)-x = 0, 1, 2, ...Part (d) In the past 15-minutes, you have been told that somewhere between 13 and 19 people, inclusive, have entered the security lineup. Compute the probability that this uncertainnumber is 17.(use four decimals in your answer)

NOTE-AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY Here Given The number of people…

Answered: The number of people arriving per hour…

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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Question

The number of people arriving per hour at the emergency room (ER) of a local hospital seeking medical attention can be modeled by the Poisson distribution, with a mean of 15 people per hour.

The inter-arrival time, X, is defined as the time that passes between successive arrivals of patients seeking medical attention.

(a) It has been 4 minutes since the last person seeking medical attention arrived at the ER. What is the probability that at least 9 minutes (in total) will pass until the next medical-attention-seeking person passes through the ER doors? Use four decimals in your answer.

A certain section of a Northern Alberta forest is undergoing a pine-beetle infestation. A biologist has determined
that the number of pine-beetle infected trees fluctuates from acre to acre, with an average of 10.6 pine-beetle
infected trees per acre.
(c) As a way to combat the infestation, the infected trees are to be sprayed with an insecticide at a cost of $3 for
every tree infested with pine beetle(s), plus an overhead fixed cost of $60 for equipment rental. Letting Cost
represent the total cost for spraying all the pine-beetle infested trees for a randomly chosen acre of forest.
Find the expected cost of spraying an acre. In addition, find the standard deviation in the cost of spraying an
acre.
E(Cost) = $ 81.8
(use two decimals)
SD(Cost) = $ 9.7673
(use two decimals)

The number of people entering a security check-in lineup in a 15-minute interval at a medium sized airport can be modeled by the following probability model:
P(X = x) =
e 1"(17)-
x = 0, 1, 2, ...
Part (d) In the past 15-minutes, you have been told that somewhere between 13 and 19 people, inclusive, have entered the security lineup. Compute the probability that this uncertain
number is 17.
(use four decimals in your answer)

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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