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27 January, 21:04

A farmer's income depends on weather conditions. The weather is excellent, normal, or bad with respective probabilities of 0.2, 0.6, and 0.2. Suppose she earns a revenue of $120 when the weather is excellent, $60 when the weather is normal, and - $40 when the weather is bad. She incurs a cost of $20 irrespective of weather conditions. Her expected profit is:

a. 32

b. 68

c. 48

d. 52

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  1. 27 January, 21:30
    0
    a. 32

    Explanation:

    Expected Earnings = $120 * 0.2 + $60 * 0.6 + - $40 * 0.2

    = $24 + $36 - $8

    = $52

    Expected profit = Expected Earnings - Expected Costs

    = $52 - $20

    = $32
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