The weekly demand for propane gas (in 1000s of gallons) from a particular facility is modeled by a random variable with the following pdf. { *(1-), 1sxs2, f(x) = otherwise. } · 3.1. Find the value of k. 1 3.2. Find the expression of the cdf. 1 3.3. Find the expected value and the variance.

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The weekly demand for propane gas (in 1000s of gallons) from a particular facility is modeled by a random
variable with the following pdf.
f(x) = { k(1-), 1sxs2,
0,
otherwise.
1 3.1. Find the value of k.
1 3.2. Find the expression of the cdf.
1 3.3. Find the expected value and the variance.
Transcribed Image Text:The weekly demand for propane gas (in 1000s of gallons) from a particular facility is modeled by a random variable with the following pdf. f(x) = { k(1-), 1sxs2, 0, otherwise. 1 3.1. Find the value of k. 1 3.2. Find the expression of the cdf. 1 3.3. Find the expected value and the variance.
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