Consider the figure below. It shows three cumulative distributions functions for the exponential distribution with various parameters:

Identify the color of these distributions.

A continuous random variable can take on a infinite number of possible values.

Find the expected value of X, where X is a random variable with the following pdf:

f(x) = 2x² for 0 < x < 1

Consider the continuous random variable X with probability density function f(x) and cumulative density function F(x). Then, P(X = 0)

The cumulative distribution function (CDF) of a continuous random variable is always a non-decreasing function.

An oil company conducts a geological study that indicates that an exploratory oil well should have a 20% chance of striking oil. What is the probability that the first strike occurs before the fourth well drilled?