There are 750 identical plastic chips numbered 1 through 750 in a box. What is the probability of reaching into the box and randomly drawing

Question

There are 750 identical plastic chips numbered 1 through 750 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 627

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Doris 5 years 2021-08-20T18:40:31+00:00 1 Answers 26 views 0

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    2021-08-20T18:41:51+00:00

    Answer:

    0.8358 = 83.58% probability of reaching into the box and randomly drawing a chip number that is smaller than 627

    Step-by-step explanation:

    Uniform probability distribution:

    An uniform distribution has two bounds, a and b.

    The probability of finding a value of at lower than x is:

    P(X < x) = \frac{x - a}{b - a}

    There are 750 identical plastic chips numbered 1 through 750 in a box

    This means that a = 1, b = 750

    What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 627?

    P(X < x) = \frac{627 - 1}{750 - 1} = 0.8358

    0.8358 = 83.58% probability of reaching into the box and randomly drawing a chip number that is smaller than 627

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