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3 votes
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

1 Answer

2 votes

Answer:

a. It is equal to zero

Step-by-step 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.

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