Suppose that X is a continuous random variable with a probability density function of the form...
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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 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(-2≤X≤-1) < P(-2≤X≤0). □ P(X≥-3) > P(X≥-4). 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(-2≤X≤-1) < P(-2≤X≤0). □ P(X≥-3) > P(X≥-4).
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