The cumulative distribution function F(x) of a continuous random variable X with the probability density function f(x) is which of the following?Multiple ChoiceThe area under f over all values that are x or less.The area under f over all values x.The area under f over all non-negative values that are x or less.The area under f over all values that are x or more.

What is the area under f(x) if the function is a continuous probability density function?Question 6Answera.1.0b.2.5c.1.5

The Cumulative distribution function F(x) is a

The Probability density function for a continuous random variable X is given by 𝑓(𝑥)=𝑥34 for 0<x<2 and 0 elsewhere. What is the cumulative distribution function of X?

Which of the following is not a characteristic of a probability density function f(x)?Multiple Choicef(x) becomes zero or approaches zero if x increases to +infinity or decreases to −infinity.f(x) is symmetric around the mean.The area under f(x) over all values of x equals one.f(x) ≥ 0 for all values of x.

Random variables can also be defined in terms of their cumulative distribution function, or, equivalently, P(X ? x). What is the correct mathematical sign (instead of the ?) in the P(X ? x) for the cumulative distribution function?Multiple choice question.≤ (less than or equal)= (equal)< (less than)>(greater than)