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11 February, 22:05

The probability of a single radar station detecting an enemy plane is 0.75 and the probability of not detecting an enemy plane is 0.25. How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station?

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  1. 11 February, 22:53
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    Atleast 3

    Step-by-step explanation:

    P (atleast 1) = 1 - P (none)

    1 - (0.25^n) " 0.98

    0.25^n " 0.02

    Use trial method:

    At n=3, 0.25³ = 0.015625
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