In a continuous probability density function, the probability that any single value of a random variable occurs is equal to what? A) One. B) 1/N. C) Zero. D) A random occurrence.

C --> by definition of a Continuous PDF.

Agree with C

It’s C… it’s Range that matters for continuous probability density function - Dinesh S

What a stupidly-phrased question. We deal with continuous probability density functions all the time in physics, so if p(x) is the probability density of finding a particle at position x, you never leave it like that, you always write the overall probability as: p(x)dx = probability of finding particle between x and x+dx This stupid question is effectively saying that as dx->0, then p(x)dx -> 0, even though the probability density itself p(x) is finite and usually well-defined.

Although worded strangely, I thought that the question made sense - all it wants to do is see if candidates can differentiate between a discrete and a continuous distribution.

Answer is C

stratus Wrote: ------------------------------------------------------- > What a stupidly-phrased question. > > We deal with continuous probability density > functions all the time in physics, so if p(x) is > the probability density of finding a particle at > position x, you never leave it like that, you > always write the overall probability as: > > p(x)dx = probability of finding particle between x > and x+dx > > This stupid question is effectively saying that as > dx->0, then p(x)dx -> 0, even though the > probability density itself p(x) is finite and > usually well-defined. How about: If X is a random variable with continuous pdf what is the probability that X = a for any real number a?