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Suppose that X is a continuous random variable with a probability density function of the form g(x) if -5 x-1, f(x) = { 0

[ f(x)=left{begin{array}{ll} g(x) & text { if }-5 leq x leq-1  0 & text { otherwise } end{array}ight. ] where  

Suppose that X is a continuous random variable with a probability density function of the form g(x) if -5 x-1, f(x) = { 0 0 otherwise. where g is a continuous function symmetric about the vertical line x = -3. Note that all you need to know is that this defines a probability density function. The exact form of g(x) is not needed. Select all the statements below which must be true as long as g satisfies the above conditions: P(X-3) = P(X 3). OP(X=-3) = 0.5. P(X=-3) P(X=-4). P(-2X-1) < P(-2X0). P(X-3) > P(X-4).

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