Letter b
Angles are supplementary ( the sum of both angles =180)
11x + 8 + 12x +11 = 180
23 x = 180 - 19
23x -= 161
X = 7
924
ways to solve: plug it into a calculator, write it out
Because the random variable x follows a continuous uniform distribution from x=1 to x=5, therefore
p(x) = 1/4, x=[1, 5]
The value of p(x) ensures that the total area under the curve = 1.
The conditional probability p(x > 2.5 | x ≤ 4) is the shaded portion of the curve. Its value is
p(x > 2.5 | x ≤4) = (1/4)*(4 - 2.5) = 0.375
Answer: 0.375
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