Probability, Combinations and Permutations

A basket contains 4 black, 2 red, and 5 green marbles. A sample of three marbles is drawn. Find the probabilities that the sample contains the following: 2 black balls and 1 green ball

Applications

(1) At noon, ship A is 60 nautical miles due west of ship B. Ship A is sailing west at 19 knots and ship B is sailing north at 25 knots. How fast is the distance between the ships changing at 8 PM, in knots? (2) A street light is at the top of a 22 ft tall pole. A woman 12 ft tall walks away from the pole with a speed of 9 f ...continues

Linear Programming: Simplex Method - Nonstandard Problems

A couple has $40,000 to invest. As their financial consultant, you recommend they invest some money in treasury bills that yield 6%, some money in corporate bonds that yield 8%, and some money in junk bonds that yield 10%. A. Prepare a table showing some of the ways this couple can achieve $3,000 per year in income. B. ...continues

Solving the production costs problem using Simplex Method

Post edited to correct typo (sorry, maybe part of my problem :( !) Cauchy Canners produces canned whole tomatoes and tomato sauce. This season, the company has available 3,000,000 kg of tomatoes for these two products. To meet the demands of customers, it must produce at least 80,000 kg of sauce and 800,000 kg of whole tom ...continues

Develop probability tree and Joint probability table

A school system consists of three districts, north, south, and central. The North contains 25% of the students, the south contains 40% and the central contains 35%. A mininum competency test was given to all students; 10% of the north dist. failed, 15% of the south district failed and 5% of the central failed. a. Develop a prob ...continues

Counting Principles; Further probability Topics and Statistics

Please show the formula, the values of the variables in the formula, and the result of the formula. In a Chinese restaurant, the menu lists 8 items in Column A and 6 items in column B. To order a dinner, the diner is told to select 3 items from column A and 2 from column B. How many dinners are possible? Suppose a ...continues

Probability

In class we are learning about conditional probability and independence. The question is: On a multiple-choice test you know the answers to 70% of the question (and get them right), and for the remaining 30% you choose randomly among the 5 answers. What percent of the answers should you expect to get right? What I am havi ...continues

Probability

The Question is: In the game of bridge, each of 4 players is dealt 13 cards. If a certain player has no aces, find the probability that that person's partner has: a.)no aces b.)at least 2 ...continues

Probability - Bayes' Theorum

The Question is: An estimated 8% of men and O.5% of women are colorblind. If a colorblind person is selected at random, what is the probability that the person is a man? (Assume that men and women occur in equal numbers) Now if we have to solve using Bayes' Theorum, how are we supposed to set the problem up and represent the ...continues

Probability-Bayes' Theorum

The Question is: Suppose that 400 pregnant women take a home pregnancy test, and 397 of them test "positive" and the other 3 test "negative." Suppose also that 200 nonpregnant women take the test, and 184 of them test "negative" and the remaining 16 test "positive." What is the probability that a woman who tests positive is ac ...continues