There are n 2 shooters who are going to shoot against the same target, independently of

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There are n ≥ 2 shooters who are going to shoot against the same target, independently of one another. If the probability that the ith shooter finds the target is pi, for i = 1, 2,…, n, find the probability that

(i) none of them find the target;

(ii) exactly one finds the target;

(iii) at least two find the target.

(Hint: Use the results of Example 3.18 and Part (i) in Exercise 20.)

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Introduction To Probability Volume 2

ISBN: 9781118123331

1st Edition

Authors: Narayanaswamy Balakrishnan, Markos V. Koutras, Konstadinos G. Politis

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