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A continuous random variable X has the following density function: f(x) = x, 0<=x<=1, = (2-x), 1<x<=2

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A continuous random variable X has the following density function:
f(x) = x, 0<=x<=1, = (2-x), 1<x<=2.

f(x) = x, 0 less than and equal to "x" less than and equal to 1, = (2-x), 1 less than x less than or equal to 2.

Full equation on top does not read out on this web site?? See written out problem for clarification.

Note: <= means less than AND equal to

a) Plot the density function
b) Find the median of X
c) Find the variance of X
d) Find P(X=.1 or .2)