Problem 2.4 You would like to evaluate the probability of success for testing a batch of n processors. To start out, let’s assume that if th

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Problem 2.4 You would like to evaluate the probability of success for testing a batch of n processors. To start out, let’s assume that if there is a problem with the batch, exactly 1 out of the n processors are defective. You are willing to test only k of the processors (due to budget or times constraints). (a) How many ways are there of testing k out of n processors

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Linh Đan 3 weeks 2021-09-05T08:33:36+00:00 1 Answers 0 views 0

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    2021-09-05T08:34:40+00:00

    Answer:

    The answer is “\bold{n_{C_{k}}}\\

    Step-by-step explanation:

    \to {n_{C_{k}}} =  \frac{n!}{K! (n-k)!}

    For Example:

    if n=5 and k=2

    \to {5_{C_{2}}} =  \frac{5!}{2! (5-2)!}

              =  \frac{5!}{2! (3)!}\\\\=  \frac{5!}{2! \times 3!}\\\\=  \frac{5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 3 \times 2 \times 1}\\\\=  \frac{5 \times 4 }{2 \times 1 } \\\\=  \frac{5 \times 4 }{2} \\\\=  5 \times 2  \\\\=  10  \\\\

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