Question 1122255: X is a continuous random variable. We want to calculate the probability that X is between 1.4 and 5.3, Pr(1.4 < X < 5.3).
Select which of the following statements is always true when X is a continuous random variable.
Select one:
a. Pr(1.4 < X < 5.3) = Pr(X < 5.3)
b. Pr(1.4 < X < 5.3) = Pr(X < 1.4)
c. Pr(1.4 < X < 5.3) = Pr(1.4 ≤ X ≤ 5.3)
d. Pr(1.4 < X < 5.3) = 0
Thanks very much in advance
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! It is C, because always in a continuous RV means the endpoint itself is included, because it is dimensionless. This is the best answer.
a and b would include the value 1, which is not always consistent.
d says there is no possibility of all that x is in the range, which is not always true.
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