A Christmas tree grower anticipates a profit of $80,000 in a usual season. There is however a 10% chance of pine bark beetle infestation in which case 70% of the trees are destroyed and profit is reduced to $24,000. The grower can spray for beetles at the beginning of the season at a cost of $7,000. Compute E(X). Enter just an integer rounded off to the nearest thousand.

Fill in the blank(s) with the appropriate word(s).


74000

E(X) = 80,000(.9) +24,000(.1) ? 74,000 rounded (actually 74,400)
Doing nothing, the grower can expect a profit of $74,000 and by spraying, the grower can expect a profit is $73,000. The grower shouldn't spray.

Mathematics

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