The amount of time it takes Ariana to do a math problem is continuous and uniformly distributed between 38 seconds and 79 seconds. What is t

Question

The amount of time it takes Ariana to do a math problem is continuous and uniformly distributed between 38 seconds and 79 seconds. What is the probability that it takes Ariana between 58 and 70 seconds to do a math problem

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Raelynn 2 hours 2021-09-15T21:33:22+00:00 1 Answer 0

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    2021-09-15T21:35:02+00:00

    Answer:

    29.27% probability that it takes Ariana between 58 and 70 seconds to do a math problem

    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, d being greater than c, is given by the following formula:

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

    Uniformly distributed between 38 seconds and 79 seconds.

    This means that a = 38, b = 79

    What is the probability that it takes Ariana between 58 and 70 seconds to do a math problem

    c = 58, d = 70

    P(58 \leq X \leq 70) = \frac{70 - 58}{79 - 38} = 0.2927

    29.27% probability that it takes Ariana between 58 and 70 seconds to do a math problem

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