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X is a continuous random variable, f(x) is the probability density function (pdf) of X, and...

X is a continuous random variable, f(x) is the probability density function (pdf) of X, and
F(x) is the cumulative distribution function of X. Then for any two numbers a and b with
a < b, which of the following are true? Circle all correct answers.
A.
B.
C.
D.
5. If X is a normally distributed random variable with a mean of 36 and a standard deviation
of 12, then the probability that X exceeds 36 is:
A. .5000
B. .6250
C. .3750
D. None of the above
P(a £ X £ b) = F(a) - F(b)
P(X > a) =1- F(a)
F(x) = (x -a) /(b- a)
P(X > b) = F(b) -1

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