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21 January, 00:06

The time it takes to complete a degree at asu can be modeled as an exponential random variable with a mean equal to 5.5 years. what is the probability that it takes an asu student 4.5 or fewer years to graduate? express your answer to four decimal places.

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  1. 21 January, 00:30
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    0.5588

    Step-by-step explanation:

    The CDF of an exponential function with mean μ is ...

    CDF (x) = 1 - e^ (-x/μ)

    Then the probability that graduation will occur in 4.5 years or less is ...

    P (x<4.5) = 1 - e^ (-4.5/5.5) ≈ 0.558767 ≈ 0.5588
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