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24 February, 09:11

Here is probability data on a random sample of students who have enrolled in a Business-related Math course ... PASS FAIL Withdrew TOTAL Calculus. 238.044.039.321 Statistics. 559.051.069.679 TOTAL. 797.095.108 1 Compute the probability of passing the course given that the course taken was statistics.

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  1. 24 February, 13:06
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    The probability of passing the course given that the course taken was statistics = P (pass|C) = 0.7414

    Step-by-step explanation:

    This is a combined probability question

    PASS FAIL Withdrew TOTAL

    (C).238.044.039.321

    (S).559.051.069.679

    (T).797.095.108 1

    C represents probability data from Calculus exam and S represents probability data from Statistics exam

    Compute the probability of passing the course given that the course taken was statistics = P (pass|C)

    Mathematically, this is given by

    P (pass|C) = P (pass n C) / P (C)

    Probability of passing Calculus, P (pass n C) = 0.238 (from the table)

    Probability of offering Calculus, P (C) = 0.321 (from the table)

    the probability of passing the course given that the course taken was statistics is P (pass|C)

    P (pass|C) = 0.238/0.321 = 0.7414
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