Answered: n Hawaii, the rate of motor vehicle…

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

In Hawaii, the rate of motor vehicle theft is 520 thefts per 100,000 vehicles. A large parking structure in Honolulu has issued 568 parking permits.

(a) What is the probability that none of the vehicles with a permit will eventually be stolen? (Round λ to 1 decimal place. Use 4 decimal places for your answer.)

Expert Solution

Step 1

From the given information,

Consider, X be the vehicles with a permit.

In Hawaii,the rate of motor vehicle theft is 520 thefts per 100,000 vehicles.

Sample size (n) =568

Thus, required proportion of vehicle thefts is-

$p = \frac{520}{100000} = 0.0052$

Since, sample size is large enough that is n>100 and probability is so small therefore, Poisson approximation of binomial will be used.

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