Answered: Assume that the Poisson distribution…

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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Assume that the Poisson distribution applies. Assume that the mean number of potholes on a major highway in the city of Chicago is 10.2. Compute the probability that the number potholes over 3 miles randomly slected highway is:

Round answers to three decimal places. Remember the fractional rule of leading zeros.

(1) Exactly seven. I'm using StatCrunch and got P(x=7)= 0.085

(2) Fewer than seven. P(x<7)= 0.118

(3) At least seven. Got: P[x(greater than or equal to sign)7=0.882

(4) Would it be unusal for a randomly selected 3-mile stretch of highway in Chicago to contain more than 15 potholes?

I am picking YES...but then I saw the 3 mile thing in the original question - did I miss something?

Yes, it is unusual

No, it is not unusual

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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