The probability that a continuous random variable takes any specific value

a. is equal to zero

b. is at least 0.5

c. depends on the probability density function

d. is very close to 1.0

a. It is equal to zero

Explanation:

As the possible results of a continuous random variable are infinite, it is most common to talk about probabilities on intervals; A singular and particular value is so difficult to obtain in an experiment because there are infinite possibilities, and a specific value is just a very little part of the possibilities.

That is the reason why, as a definition, that probability is always zero when you have a continuous random variable.