Royalty income received by an investor in an oil well will vary according to the price of oil. Data collected from stripper wells in an established oilfield were used to develop a probability-royalty relationship. Calculate (a) the expected value of royalties per year, and (b) the probability that the royalties will be at least $12,600 per year. Royalties R, $/year           6200    8500    9600   10,300   12,600    15,500Probability, P(R)                0.10     0.21     0.32    0.24         0.09      0.04

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Royalty income received by an investor in an oil well will vary according to the price of oil. Data collected from stripper wells in an established oilfield were used to develop a probability-royalty relationship. Calculate (a) the expected value of royalties per year, and (b) the probability that the royalties will be at least $12,600 per year.

Royalties R, $/year           6200    8500    9600   10,300   12,600    15,500
Probability, P(R)                0.10     0.21     0.32    0.24         0.09      0.04

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