If f(x, y) is the joint probability distribution function of two random variables, X and Y, then the sum (or integral) of f(x, y) over all possible values of y is the marginal probability function of x.
The definition can be extended analogously to joint and marginal distribution functions of more than 2 variables.
The marginal probability distribution function.
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The probability mass function is used to characterize the distribution of discrete random variables, while the probability density function is used to characterize the distribution of absolutely continuous random variables. You might want to read more about this at www.statlect.com/prbdst1.htm (see the link below or on the right)
probability density distribution
The marginal probability distribution function.
Suppose you have two random variables, X and Y and their joint probability distribution function is f(x, y) over some appropriate domain. Then the marginal probability distribution of X, is the integral or sum of f(x, y) calculated over all possible values of Y.
Find the integral of the marginal cost.
Marginal cost function is a derivative of the cost function. To get the cost function, you need to do the opposite, that is, integrate.
good question.
If the consumption function is C50 0.75y then the marginal propensity to consume is?
None. The full name is the Probability Distribution Function (pdf).
Marginal benefit 'occurs' for any benefit (price) function, since a marginal term is simply the first-order derivative of its parent function. Marginal benefit is strictly greater than zero only when a benefit function is always increasing in total benefit over its domain.
They are the same. The full name is the Probability Distribution Function (pdf).
A probability density function assigns a probability value for each point in the domain of the random variable. The probability distribution assigns the same probability to subsets of that domain.
Marginal cost - the derivative of the cost function with respect to quantity. Average cost - the cost function divided by quantity (q).
Find (i) the marginal and (2) the average cost functions for the following total cost function. Calculate them at Q = 4 and Q = 6.