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18 July, 20:17

Aline and Sarah decide to go into business together as economic consultants. Aline believes they have a 50-50 chance of earning $200,000 a year, and that if they don't, they'll earn $0. Sarah believes they have a 75% chance of earning $100,000 and a 25% chance of earning $10,000. The expected value of the undertaking, according to Sarah, is $75,000. according to Sarah, is $100,000. according to Aline, is $200,000. according to Aline, is $100,000.

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  1. 18 July, 21:58
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    Option (D) is correct.

    Explanation:

    For Aline:

    E (v) = Earning * Probability of earning + Don't believe earning * probability

    = 200,000 (0.5) + 0 (0.5)

    = 100,000

    For Saraf:

    E (v) = Earning * Probability of earning + Earning * probability

    = 0.75 (100,000) + 0.25 (10,000)

    = 77,500

    Therefore, the expected value of the undertaking is according to Aline, is $100,000.
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