Question
The amount of snowfall (in feet) in a remote region of Alaska in the month of January is a continuous random variable with probability density function $f(x)=\frac{2}{9} x(3-x), 0 \leq x \leq 3 .$ Find the probability that the amount of snowfall will be between 1 and 2 ft; more than 1 ft.
Step 1
This is given by the integral of the probability density function from 1 to 2. So, we have: \[ P(1 \leq X \leq 2) = \int_{1}^{2} f(x) \, dx = \int_{1}^{2} \frac{2}{9} x(3-x) \, dx \] Show more…
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