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 minimum 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 and Probability : Combinations, Is the game fair? and Z-score

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 family plans 6 children, and the probability that a particular child is a girl is 1/2. Find the probability ...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?

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' Theorem

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' Theorem, how are we supposed to set the problem up and represent the ...continues

Probability-Bayes' Theorem

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

Probability-Conditional Prob. and Independence

The Question is: Suppose that each time that you buy a car, you choose between Ford and General Motors. Suppose that each time after the first, you stay with the same company with probability 2/3 and switch with probability 1/3. If you are equally likely to choose either company for your first car, what is the probability that ...continues

Probability and Expected Value

The numbers 1 through 9 are written individually on nine cards. Choose three cards from the nine, letting x, y, and z denote the numbers of the cards arranged in increasing order. A. There are ____ ____ such as x, y, and z combinations. B. The probability of having x, y, and z all even is . C. The probability of ha ...continues

Probability / Statistics : Combination Application Word Problems

In a marketing survey, consumers are asked to give their first three choices, of 9 different drinks. In how many different ways can they indicate their choices? Find the present value of an ordinary annuity with annual payments of $1,000, for 6 years, at 10% interest compounded annually. A class consists of 15 students. ...continues

Matrices : Row Echelon Forms and their Solutions, Subtraction, Multiplication and Inverses

Indicate whether the reduced row-echelon form of each augmented matrix has one solution, no solution, or infinitely solutions. Please see the attached file for the fully formatted problems.