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
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In a physical experiment, there are 104 elementary particles under consideration. During the experiment, each particle decays independently of each other with a
(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.
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