Problem 7 Given a class room where the desk are arrange in a 4 × 4 square.Each desk is assigned randomly and independently to a boy or a girl. If a boy founda girl sitting right next to him (up, down left, right), then the boy will start flirtingwith that girl. Each boy can flirt with multiple girls next to him. For example, theboy at the corner can flirt up to 2 girls at a time. While the boy in the center canflirt up to 4 girls around him. What is the expected number of flirtation?Hint: Split expectation into a sum.

The total expected number of flirtations is indeed 12Explanation:Part 1: Boys sitting in a cornerFor…

Answered: Problem 7 Given a class room where the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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jared is opening several ice cream stores. The walls of the stores can be yellow or blue. He wants to determine if the color of the walls affects how much ice cream people eat. Jared finds 164 volunteers. He randomly assigns half of them to a room with yellow walls and lets them eat as much chocolate ice cream as they want for one hour. He assigns the other half to a room with blue walls and lets them eat as much vanilla ice cream as they want for two hours. Jared records the total amount of ice cream eaten in each room.Which would be an appropriate statistical model for Jared to use in order to determine if the color of the wall affects how much ice cream his customer will eat?
Jerri has 210 stamps in her collection. She wants to arrange her stamps in a rectangular array so there are the same number of stamps in each row without any left over. What are all the different ways she can arrange her stamps, not worrying about order?
Penny and Nicholas each collected baseball cards. Nicholas wanted his collection to be larger than Penny’s. So, Nicholas made sure that he always had seven more cards in his collection than Penny had in her baseball card collection. Find out how many cards Nicholas would have if penny had 2 cards, 5 cards, 8 cards, 11 cards in her collection. Create a table to show how many cards penny has in her collection, if Nicholas has: 10 cards, 15 cards, 22 cards, 41 cards. Predict how many cards Nicholas would have if Penny had 417 baseball cards. Explain your thinking in words and in algebraic symbols. Predict how many cards penny would have if Nicholas had 1,000 baseball cards. Explain your thinking in words and in algebraic symbols. Write algebraic equation in two different ways. Graph first five points on your graph sheet if penny has 2, 5, 8, 11, and 14
A shoe company wants to test an updated model of a running shoe on its wear after one month of running. Which of the following describes a matched pairs design? They recruit 50 people who run on a regular basis to participate in their study. They will have the runners wear the shoes when they run for two months. After two O The subjects are numbered 1-50, and these numbers are put into a random number generator. The first 25 random numbers, ignoring repeats, represent the subjects assigned to the new model group. The remaining 25 subjects will wear the original model. months, the wear on the shoes will be determined using the depth of the tread and flexibility of the toe box. The wear between the new model and the original model will then be compared. The subjects' names are written on equal-sized slips of paper and placed into a hat. A researcher then reaches in and pulls out 25 slips of paper. These subjects are assigned to the new model group. The remaining 25 subjects will be…
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One hundred extremely intelligent male prisoners are imprisoned in solitary cells and on death row. Each cell is soundproofed and completely windowless. There is a separate room with one hundred small boxes numbered and labeled from 1 to 100. Inside each of these boxes is a slip of paper with one of the prisoners' names on it. Each prisoner's name only appears once and is in only one of the one hundred boxes. The warden decides he is going to play a game with all of the prisoners. If they win, they will all be let free, but if they lose the game, they will all be immediately executed. The hundred prisoners are allowed to enter this separate room with 100 boxes in any predetermined order they wish, but each can only enter the room once and the game ends as soon as the hundredth person enters the room. (At any time, only one prisoner is allowed to enter and remain in this room.) Once a prisoner enters the room, he is allowed to open and look inside as many as Xboxes, where X is a…
The information below will be used for Questions 5 - 9. You will see the information on every screen. Tran is in charge of the school's Awards Dinner. She set up the multi-purpose room with a stage in front and round tables for parents, students, and family members to sit around for dinner. Below is the floor plan that she drew for the event. Stage Question 5: How many people can be seated as the tables are arranged right now? (In the box below, type your answer as a number only.) 000 000
Lonny opened a new box of granola bars. Lonny and three of his friends equally shared the granola bars shown in the picture.

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