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xxTIMURxx [149]
3 years ago
12

Suppose f(x) = 1/4 over the range a ≤ x ≤ b, and suppose P(X > 4) = 1/2.

Mathematics
1 answer:
Anettt [7]3 years ago
3 0

Answer:

a=2

b=6

Step-by-step explanation:

Assuming a uniform distribution and that a ≤ x ≤ b, if f(x) = 1/4, then:

f(x) =\frac{1}{4}=\frac{1}{b-a}\\b-a = 4

If P(X > 4) = 1/2, then:

\frac{1}{2} = 1-(\frac{x-a}{b-a})=1-(\frac{4-a}{4})\\a-4+4 =\frac{1}{2}*4\\ a=2\\b=4+a\\b=6

The values for a and b are, respectively, 2 and 6.

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