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Question: We consider the two children problem, introduced in 1959 by Martin Garnder is his Mathematical Games column in Scientific American. A version of the puzzle asks: "We meet Mr. Smith as he is walking down the street with a young child whom he introduces as his son. He also tells us that he has two children. What is the probability that his other child is a son?" We will show that this puzzle is ambiguous, leading to a paradox, by showing that there are two reasonable answers to this problem and we will describe how to make the puzzle unambiguous
a) Solve this puzzle in two different ways. First, answer the problem by considering the probability of the gender of the second child. Then, determine the probability differently, by considering the four different possibilities for a family of two children.
b) Show that the answer to the puzzle becomes unambiguous if we also know that Mr. Smith chose his walking companion at random from his two children.
c) Another variation of this puzzle asks "When we meet Mr. Smith, he tells us that he has two children and at least one is a son. What is the probability that his other child is a son?" Solve this variation of the puzzle, explaining why it is unambiguous.
Assume that the result is a sample size beyond what you can obtain. Use the compromise function to compute alpha and beta for a sample half the size. Indicate the resulting alpha and beta. Present an argument that your study is worth doing with th..
Give an example of a continuous function whose derivative does not exist at x=0(hint: this would be relatively easy to do with a piecewise function, but you have to think of a function that uses formula that Maple TA recognises. Check the syntax g..
1. What strategy suzuki use when it shut down the plant? it was justified? explan using concept in corporate level strategy. 2. What strategy is involved when suzuki signed the pact with proton? what recommendation to ensure their plan work?
Draw the Hasse diagram of A. Give a subset of B that is linearly ordered and contains at least three elements.
From the top of a 230 ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far is the ship from the base of the lighthouse? Round your answer to the nearest foot.
Resource: The Practice of Public Relations textbook,University Library, Internet Select one of the following case studies located in The Practice of Public Relations.
1) What is the equation of the line that passes through the points (2, 5) and (6, 3)? 2) What is the equation of the line containing point (5, 6) and has slope m = 3? 3) Solve the inequality 5x-2?4+3x
How many personal injury cases were handled by Gypsum-Goode last year - What is the range of values for the width and Solve the given equation and identify it as a conditional equation, an inconsistent equation, or an identity.
Alicia borrowed $900 for two years. She paid $252 in interest. What expression can represent the annual rate of interest she was charged.
A separate sample of 500 people is mailed the second brochure; 125 get the credit card. Are the two campaigns equally attractive to customers? Find the test statistic.
How many ways can you get to the corner of 9th Street and Thornhill Street, if you travel on the streets and can only go south or west?
Attention will be focused on how care is provided as well as the costs associated with care, and you as a manager will be responsible for various services in your organization.
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