Among N devices there are M<N defects. At random n devices are chosen. Find P{among n...

Question

Question

Among N devices there are M<N defects. At random n devices are chosen. Find P{among n chosen, there are exactly m(<M) with defects}

math Statistics-And-Probability

Answer 1

Answer #1

Total number of ways of selecting n devices from N = _NC_n

Number of ways of selecting m defective device from M & remaining n-m non-defective device = _MC_m*_(N-M)C_(n-m)

P{among n chosen, there are exactly m(<M) with defects} = [_MC_m*_(N-M)C_(n-m)]/_NC_n

Answer 2

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