In the case of the Maxwell-Boltzmann distribution, f(v) = 0 for v less than zero, because speed is never negative. Our integrals over all possible speeds will be from zero to infinity. Also, the expected value of a given function of x is the integral of that function weighted by the probability density function: () ∫ () +∞ −∞ g x = g x ... The expected value of a random variable is denoted byE[X]. The expected value can bethought of as the“average” value attained by therandomvariable; in fact, the expected value of a random variable is also called its mean, in which case we use the notationµ
Jun 02, 2020 · PART 2 8.The probability distribution of possible net present values for project X has an expected value of $20,000 and a standard deviation of $10,000. Assuming a normal distribution: Calculate the probability that the net present value will be zero or less, Calculate the probability that the NPV will be greater than $30,000, Calculate the probability that the NPV will […]
Definition (informal) The expected value of a random variable is the weighted average of the values that can take on, where each possible value is weighted by its respective probability. The expected value of a random variable is denoted by and it is often called the expectation of or the mean of .
This section covers Discrete Random Variables, probability distribution, Cumulative Distribution Function and Probability Density Function. A probability distribution is a table of values showing the probabilities of various outcomes of an experiment. For example, if a coin is tossed three times, the number of heads obtained can be 0, 1, 2 or 3. Find expected value based on calculated probabilities. If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.