Question

A consequence of continuous random variables having an infinite, uncountable set of possible values is that the probability of any continuous random variable that equals to a specific value is always ______________.

Multiple Choice

zero

very hard to tell

an extremely small number

less than one

Answer 1

As we know , if X be a continuous random variable following a pdf f or any probability measure , then for any specific value x, in or outside that domain of X, always P(X=x)=0

So on a similar note we can say here,

A consequence of continuous random variables having an infinite, uncountable set of possible values is that the probability of any continuous random variable that equals to a specific value is always

zero

Hence the answer................

Thank you...............