ppose that X is a continuous random variable with probability density function of the form S f(x) g(æ) = {0 if – 5 P(X=-4). P( 3< X<-1)< P(_2< X<0)

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Suppose that X is a continuous random variable with probability density function of the form
g(x) = {0
S f(x)
if – 5 <x < -1,
otherwise.
where f is a continuous function symmetric about the vertical line x = -3.
Note: All you need to know is that this defines a probability density function. The exact form of f(x) is not needed.
Select all the statements below which must be true as long as f satisfies the conditions above:
O P(X=-3) > P(X=-4).
O P(-2<X<-1) < P(-2<X<0).
O P(X=-3)%= 0.5.
O P(X<-3) = P(X>-3).
O P(X2-3) > P(X>-4).
Transcribed Image Text:Suppose that X is a continuous random variable with probability density function of the form g(x) = {0 S f(x) if – 5 <x < -1, otherwise. where f is a continuous function symmetric about the vertical line x = -3. Note: All you need to know is that this defines a probability density function. The exact form of f(x) is not needed. Select all the statements below which must be true as long as f satisfies the conditions above: O P(X=-3) > P(X=-4). O P(-2<X<-1) < P(-2<X<0). O P(X=-3)%= 0.5. O P(X<-3) = P(X>-3). O P(X2-3) > P(X>-4).
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