Question

If f(x) is a probability density function of a continuous random variable, then f(x)=?

a-0

b-undefined

c-infinity

d-1

Answer 1

There is some misprint in the question. I think it's asking what is integral of f(x).. In that case answer would be option d which is 1.

Because f(x) is already given to be a probablity density function and it's values when summed for all the given domain must lie between 0 to 1 beacuse it represents probability. It can never be infinity.

For continous random variable the absolute likelihood is 0 because a point has almost zero probability to occur in a continous range of data, so we use probability density function to assign a relative likelihood over a range of values around that point to avoid it from being zero.