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Using the following uniform density​ curve, answer the question. A graph has a horizontal x-axis labeled...

Using the following uniform density​ curve, answer the question. A graph has a horizontal x-axis labeled from 0 to 8 in increments of 1 and vertical scale labeled "P(x)" labeled from 0 to 0.125 in increments of 0.125. The plotted curve consists of two line segments: a horizontal line segment from (0, 0.125) to (8, 0.125) and a vertical line segment from (8, 0.125) to (8, 0). What is the probability that the random variable has a value between 1.1 and 3.2​? Round to four decimal places.

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Answer #1

Here X axis : 0 to 8, Y axis : 0 to 0.125

source: wikipedia

For our diagram : a=0, b=8, and

which is the PDF of an uniform distribution.

X ~ Uniform(0,8)

probability that the random variable has a value between 1.1 and 3.2

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