probability: mean, variance, conditional pmf, pdf, standard deviation

6) Suppose we have a building with a floor shaped like an isosceles right triangle. The two sides adjacent to the right triangle have length 100 feet. Think of the right angle being at the origin, and other two corners at (100, 0) and (0, 100). The overhead crane is located at the origin and needs to travel to a point (X, Y), w ...continues

probability: mean, variance, conditional pmf, pdf, standard deviation

6) Suppose we have a building with a floor shaped like an isosceles right triangle. The two sides adjacent to the right triangle have length 100 feet. Think of the right angle being at the origin, and other two corners at (100, 0) and (0, 100). The overhead crane is located at the origin and needs to travel to a point (X, Y), w ...continues

probability: mean, variance, conditional pmf, pdf, standard deviation

7) suppose the average weight of an item labeled 16 ounces ctually has mean 17 ounces and variance 4 (ounce^2). What is the approximate probability that the combined weight of 25 items exceeds 445 ounces? What theorem is useful in answering this question?

establishing codomain, r2 to r3, proving onto, constructing inverse

establishing codomain, r2 to r3, proving onto, constructing inverse f(x,y)=(x+y,x-y,xy)

probability: mean, variance, conditional pmf, pdf, standard deviation

2.) Suppose X has probability mass function Pr{X = k} = c(k + 2) for k = -1, 0, 1, 2 Find c, and compute the mean, variance, and standard deviation of X. Let Y = 3X + 5. Compute the mean, variance and standard deviation of Y

probability: mean, variance, conditional pmf, pdf, standard deviation

3.) Suppose X has probability density function f(s) = c(1 + s) for -1 <= s <= 1. Determine c and the mean, variance, and standard deviation of X. Let Y = 3X + 5. compute the mean, variance, and standard deviation of Y.

college level:vector analysis

Apply Green's Theorem to evaluate the integral over C of 2(x^2+y^2)dx + (x+y)^2 dy, where C is the boundary of the triangle with vertices (1,1), (2,2) and (1,3) oriented in the counterclockwise direction. Also check the result by direct integration. Please show detailed working so I can follow the steps of the working. ...continues

Real Analysis Proof

Prove that if f : [a,b] ----> R is a bounded function that is continuous at all but finitely many points, then f is integrable over [a,b].

number patterns

A school had a very unusual tradition involving its 1000 students and its 1000 lockers. On opening day, after the head of the school had closed all the lockers, a student walked by and opened every single one. A second student then closed every second one (#2, 4, 6, 8 etc). A third student then changed every third locker (#3, ...continues

What is the probability of hearing the song Moon River play from the top in the movie Breakfast at Tiffany's the moment the television set is turned on at random?

This is a probability problem: An event happened to me which I label as "synchronicitic" but I want to determine what the probability that this particular event can occur at random. Here are the facts: (1) The event - My brother sang my mother's old favorite song (Moon River) at her funeral. The following morning (about t ...continues