A radar complex consists of eight units that operate independently. The probability that a unit detects an incoming missile is 0.9. Find the probability that an incoming missile will (i) not be detected by any unit. (ii) be detected by atmost four units.
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1 . 0.1
2. 0.4
is the answer
2. 0.4
is the answer
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Answer:
Step-by-step explanation:
A radar complex consists of eight units that operate independently. The probability that a unit detects an incoming missile is 0.9. Find the probability that an incoming missile will (i) not be detected by any unit. (ii) be detected by atmost four units.
probability that a unit detects an incoming missile is 0.9
probability that a unit does not detects an incoming missile is 1-0.9 = 0.1
the probability that an incoming missile will not be detected by any unit
= (0.1)⁸
Detected by atmost 4 units
= Detected by 0 unit + 1 units + 2 units + 3units + 4 units
= (0.1)⁸ + 0.9*(0.1)⁷ + (0.9)²(0.1)⁶ + (0.9)³(0.1)⁵ + (0.9)⁴(0.1)⁴
=
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