The probability that a single radar station will detect an enemy plane is 0.65. (a) How many such stations are required to be 98% certain th

Question

The probability that a single radar station will detect an enemy plane is 0.65. (a) 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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Vivian 2 weeks 2021-10-01T06:23:36+00:00 1 Answer 0

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    2021-10-01T06:24:39+00:00

    Answer:

    4 stations

    Step-by-step explanation:

    If we need to be at least 98% certain that an enemy plane flying over will be detected by at least one station, we must ensure that there is at most a 2% chance that no radar stations detect the plane.

    The probability that a single radar station does not detect the plane is 0.35.

    For n radar stations:

    P=0.02=0.35^n\\n=\frac{log(0.02)}{log(0.35)}\\n=3.73

    Rounding up to the next whole station, at least 4 stations are needed.

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45:7+7-4:2-5:5*4+35:2 =? ( )