A radar center consists of two units operating independently. The probability that one of the units detects an incoming missile is 0.99, and the probability that the other unit detects it is 0.95. What is the probability that (i) both units will detect? (ii) at least one will detect? (iii) neither will detect?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A radar center consists of two units operating
independently. The probability that one of the units
detects an incoming missile is 0.99, and the probability
that the other unit detects it is 0.95. What is the
probability that
(i) both units will detect?
(ii) at least one will detect?
(iii) neither will detect?

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