A farmer wants to decide which of the three crops he should plant on his 100-acre farm. The profit from each is dependent on the rainfall during the growing seasons. The farmer has categorized the amount of rainfall as high, medium, low. His estimated profit for each is shown in the table. If the farmer wishes to plant only one crop, decide which will be his choice using the EQUALLY-LIKELY rule, prove your judgement by comparing the average pay-offs for each crop. (Indicate the equally-likely pay-off in each crop, comparison and the right choice)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 13E
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A farmer wants to decide which of the three crops he should plant on his 100-acre farm. The profit from each is dependent on the rainfall during the growing seasons. The farmer has categorized the amount of rainfall as high, medium, low. His estimated profit for each is shown in the table. If the farmer wishes to plant only one crop, decide which will be his choice using the EQUALLY-LIKELY rule, prove your judgement by comparing the average pay-offs for each crop. (Indicate the equally-likely pay-off in each crop, comparison and the right choice).

ALTERNATIVE
CROP A
CROP B
CROP C
PROBABILITY
HIGH
8000
3500
5000
0.3
MEDIUM
4500
4500
5000
0.5
LOW
2000
5000
4000
0.2
Transcribed Image Text:ALTERNATIVE CROP A CROP B CROP C PROBABILITY HIGH 8000 3500 5000 0.3 MEDIUM 4500 4500 5000 0.5 LOW 2000 5000 4000 0.2
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