Question

A radar complex consists of two units that operate independently. It is known that the first unit detects the missile with 90% probability and the second unit detects the missile with 95% probability.(a)    Find the probability that both the units detect the missile.(b)    Given that the first unit fails to detect the missile, what is the probability that the second unit detects the missile.(c)    Find the probability that exactly one of the two units detects the missile.

please answer asap

Answer 1

We know,

probability of success = p

Probability of failure = 1 - p

Given:

Probability of first unit detect the missile

p1 = 0.9

Probability of second unit detect the missile

p2 = 0.95

Ans a) Both detect the missile =

= p1 x p2 = 0.9 x 0.95 = 0.855 ans.

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Ans b) probability first fail second success

= (1- p1)×p2 = 0.1 x 0.95 = 0.095 ans.

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Ans c) probability exactly one of two unit success

= (1-p1) x p2 + p1 x (1-p2)

= 0.1 x 0.95 + 0.9 x 0.05 = 0.14 ans.