What is the probability that a continuous random variable x will assume any specific value?

Question

What is the probability that a continuous random variable x will assume any specific value?

a.
0.0
b.
0.5
c.
1.0
d.
There is not enough information provided to determine the probability.

Answer 1

The answer is actually a.  There are an infinite number of real numbers in any interval, and the odds of a variable taking on one specific value can be considered as 1 / infinity, which is effectively 0.  (These statements are not EXACTLY true, but they're close enough.)

 

With continuous variables, you can calculate the probability that it will fall within a specific RANGE.