Demand for beer at the White Sox game is x per player p=600 -0.05x, (0<x< 12,000)...
6. The demand function for a good supplied by a monopolistis: (500-P)/p=x, 0<p<500 The cost of producing x units of output is 2x, for all x20. Show that the monopolist's profit may be expressed as a concave function of output, and find the output and price that maximize profit.
Let X and Y be random variables with joint density function f(x,y) бу 0 0 < y < x < 1 otherwise The marginal density of Y is fy(y) = 3y (1 – y), for 0 < y < 1. True False
Suppose that the probability density function of X is f(x) {cx3 0 1< x < 5 otherwise where c is a constant. Find P(X < 2).
Suppose that the probability density function of X is f(x) {cx3 0 1< x < 5 otherwise where c is a constant. Find P(X < 2).
Suppose that the probability density function of X is f(x) {cx3 0 1< x < 5 otherwise where c is a constant. Find P(X < 2).
Suppose that the probability density function of X is f(x) {cx3 0 1< x < 5 otherwise where c is a constant. Find P(X < 2).
a. The price, p (in rands) and the quantity sold of Scientific calculators obey the demand equation, x = -40p + 700 where 0 <p s 30 Express the revenue R as a function of x. (3 Marks) b. What is the revenue if 50 lab coats are sold? (2 Marks) What quantity x maximises revenue? What is the maximum price? (4 Marks) d. What price should the company charge to maximise revenue? (2 Marks) e. What price should the...
(1 point) A random variable with probability density function p(x; 0) = 0x0–1 for 0 <x< 1 with unknown parameter 0 > 0 is sampled three times, yielding the values 0.64,0.65,0.54. Find each of the following. (Write theta for 0.) (a) The likelihood function L(0) = d (b) The derivative of the log-likelihood function [ln L(O)] = dᎾ (c) The maximum likelihood estimate for O is is Ô =
help a random variable X has density function f(x) = cx2 for 0<x<3 and f(x)= 0 others. a. Find constant value o b. Find probability P(1 < X < 2)
4. Suppose that X is a random variable such that P(X < 0) = 0. You toss a fair coin and if the head comes up, you define Y to be VX; if the tail comes up, you define Y to be - VX. a. Find the cumulative distribution function of Y in terms of the cumulative distribution function of X. (You will probably want to consider two cases, one for y<0 and the other for y> 0.) b. Now...