Problem 14. An important continuous distribution for describing rare eventsis the so-called Poisson Distribution given by the formula f(k; t) = where eis Euler's constant. In a binomial distribution problem if n is large and p is closeto 0, then the probability of k successes Pr(x = k) is approximately f(k; t) witht = n· p. This is known as law of small numbers or rare events. In practicalapplications, this is a useful fact. For example, if in Problem 3 our drug has non-efficacy p equal 0.1% and n =1, 000, 000, we may use this approximation to makequick calculations concerning the number of patients who will get better on thedrug. In this vein, apply this statement to quickly give approximate answers to thefollowing statements:A) The probability that the drug effectively treats all 1 million patients?B) The probability that the drug effectively treats at least three patients?C) The probability that at least 1,000 patients don't get better through theuse of the drug (they may get better for other reasons outside the scope of theexperiment).

Problem 14. An important continuous distribution for describing rare events the so-called Poisson Distribution given by the formula f(k; t) = where e Euler's constant. In a binomial distribution problem if n is large and p is close 0, then the probability of k successes Pr(x = k) is approximately f(k;t) with = n · p. This is known as law of small numbers or rare events. In practical oplications, this is a useful fact. For example, if in Problem 3 our drug has non- ficacy p equal 0.1% and n = 1,000, 000, we may use this approximation to make uick calculations concerning the number of patients who will get better on the rug. In this vein, apply this statement to quickly give approximate answers to the

Problem 14. An important continuous distribution for describing rare events the so-called Poisson Distribution given by the formula f(k; t) = where e Euler's constant. In a binomial distribution problem if n is large and p is close 0, then the probability of k successes Pr(x = k) is approximately f(k;t) with = n · p. This is known as law of small numbers or rare events. In practical oplications, this is a useful fact. For example, if in Problem 3 our drug has non- ficacy p equal 0.1% and n = 1,000, 000, we may use this approximation to make uick calculations concerning the number of patients who will get better on the rug. In this vein, apply this statement to quickly give approximate answers to the

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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