Production times are evenly distributed between 8 and 15.8 minutes and production times are never outside of this interval. What is the prob

Question

Production times are evenly distributed between 8 and 15.8 minutes and production times are never outside of this interval. What is the probability that a production time is between 9.7 and 12 minutes?

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Josephine 2 months 2021-10-14T19:08:30+00:00 1 Answer 0 views 0

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    2021-10-14T19:10:07+00:00

    Answer:

    29.49% probability that a production time is between 9.7 and 12 minutes

    Step-by-step explanation:

    An uniform probability is a case of probability in which each outcome is equally as likely.

    For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

    The probability that we find a value X between c and d, in which d is greater than c, is given by the following formula.

    P(c \leq X \leq d) = \frac{d - c}{b-a}

    Production times are evenly distributed between 8 and 15.8 minutes and production times are never outside of this interval.

    This means that a = 8, b = 15.8

    What is the probability that a production time is between 9.7 and 12 minutes?

    d = 12, c = 9.7.

    So

    P(c \leq X \leq d) = \frac{d - c}{b-a}

    P(9.7 \leq X \leq 12) = \frac{12 - 9.7}{15.8 - 8} = 0.2949

    29.49% probability that a production time is between 9.7 and 12 minutes

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