Question 289489
From his 20 years of experience in making these requests, he has deduced that his chances of getting between 50 and 74 per cent of his budget approved are twice as good as those of getting between 75 and 99 per cent approved, and two and one-half times as good as those of getting between 25 and 49 per cent approved. Further, the general believes that there is no chance of less than 25 per cent of his budget being approved. Finally, the entire budget has been approved only once during the General's tenure and the General does not expect this pattern to change.
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What are the probabilities of 
a) 0-24 per cent, 
b) 25-49 per cent, 
c) 50-74 per cent, 
d) 75-99 per cent, 
e) 100 per cent
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Equations:
a + b + c + d + e = 1
c = 2d
c = 2.5b
a = 0
e = 0
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Substitute
0 + (2/5)c + c + (1/2)c + 0 = 1
Simplify:
(19/10)c = 1
c = 10/19
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Solve for d and b:
d = (1/2)c = 5/19
b = (2/5)c = 4/19
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Cheers,
Stan H.