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)

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.

Suppose a continuous random variable X  has the CDF(a) What is the range of possible outcomes for X?(b) As far as you can tell from the graph, what is P( X ≤ 1.5 )?(c) What feature of the CDF tells you that X is a continuous random variable?

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?

Suppose the cumulative distribution function of a random variable X is given by :Calculate P(1 < X < 3)?

The P(X ≤ x) is an example of a cumulative probability.Group of answer choicesTrueFalse