In a physical experiment, there are 104 elementary particles under consideration. During the experiment, each particle decays independently of each other with a probability of 10−3. Let X be a random variable that tells the number of decays. (a) What is the distribution of X? Write an exact expression for the point probability P(X = k) when the probability is positive (when is this the case?). (b) Calculate the numerical approximation of the expression for the point probability P(X = k) to four significant figures in the cases k = 0, k = 2 and k = 10.

In a physical experiment, there are 104 elementary particles under consideration. During the experiment, each particle decays independently of each other with a probability of 10−3. Let X be a random variable that tells the number of decays. (a) What is the distribution of X? Write an exact expression for the point probability P(X = k) when the probability is positive (when is this the case?). (b) Calculate the numerical approximation of the expression for the point probability P(X = k) to four significant figures in the cases k = 0, k = 2 and k = 10.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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