There are 797 identical plastic chips numbered 1 through 797 in a box. What is the probability of reaching into the box and randomly drawing

There are 797 identical plastic chips numbered 1 through 797 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 507

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  1. Answer:

    0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507

    Step-by-step explanation:

    The probability of drawing each chip is the same, which means that the uniform distribution is used to solve this question.

    Uniform distribution:

    A distribution is called uniform if each outcome has the same probability of happening.

    The uniform distribution has two bounds, a and b, and the probability of finding a value lower than x is given by:

    [tex]P(X < x) = \frac{x – a}{b – a}[/tex]

    There are 797 identical plastic chips numbered 1 through 797 in a box.

    This means that [tex]a = 1, b = 797[/tex]

    What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 507?

    [tex]P(X < 507) = \frac{507 – 1}{797 – 1} = 0.6357[/tex]

    0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507

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