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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Mr. Smith decides to organize a potluck party with neighbors on a weekend. John Smith and his wife Mary Smith and his daughter Judy Smith will prepare three different salad dishes. John's right side neighbor Jenny Jones and Bob Jones will prepare two desserts. John's left side neighbor Linda will prepare one meat dish. John's cross street neighbor Sue will prepare soup. John wants to figure out how many different ways for him to taste all dishes in order (assuming he will taste all salads, meat, desserts and soup). (Note : For example, "Salad, Soup, Salad, Meat, Dessert, Salad, Dessert" is one of the possible order he can try.
A scientist investigated the effect of cross-fertilization on the heights of plants. In one study, the scientist planted 15pairs of a species of plant. Each pair consisted of one cross-fertilized plant and one self-fertilized plant grown in the same pot. The table available below gives the height differences, in eighths of an inch, for the 15 pairs. Each difference is obtained by subtracting the height of the self-fertilized plant from that of the cross-fertilized plant. Use the paired t-interval procedure to determine a 99% confidence interval for the difference between the mean heights of cross-fertilized and self-fertilized plants. Interpret the result. (Note: d=19.00 and sd=35.50.) The 99%confidence interval is from ____ eighths of an inch to_____ eighths of an inch. (Round to two decimal places as needed. Use ascending order.) Which statement below best interprets the confidence interval? A. There is 99%confidence that the difference between the…
4 boys Peter, Andrew, Mark and Billy build model cars from parts that are red, blue, green and yellow. The cars have tyres , radios, boots and bonnets. Each car contains 4 pairs, and each part is a different color. There is only one part of each color and no car contains any two parts that are the same color. Andrew's tyres are the same color as Peter's radio and Mark's bonnet. Andrew's boot is yellow. Mark's radio is the same color as Peter's boot and Andrew's bonnet. Peter's tyres and Billy's bonnet are red. Mark's radio is green. Who has a car with a blue radio? Who has a car with a green tyres? Who has a car with a yellow bonnet? What color are Mark's tyres? What color is Peter's bonnet? What color is Billy's radio?
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?
Sessa, an ancient wise man, visited the king of his nation and showed him a new game. The board was 8 squares by 8 squares. Two players would be given 16 pieces each, lined up on either side of the board. The pieces moved in set ways, and the purpose of the game was to move your pieces to trap the King piece of the other player. As you have probably figured out, Sessa invented chess. His king was utterly delighted at the game - war without bloodshed! - and asked Sessa what he would like in return. In the ancient bombastic style, the King said the request could include up to half of his kingdom. (That was not meant literally.) Sessa asked for the game board to be brought before him. "Highness," he said, "I ask for a grain of rice on the first square. Tomorrow, two grains of rice on the second square. The day after, 4 grains of rice on the third square. On the fourth day, 8 grains of rice. And so on, until the board is full in two months." The king and his ministers laughed…
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
Suppose you want to select two types of snacks and one drink in a coffee shop. There are 5 choices of snacks and 10 types of drinks to choose from. If you don't want to pick the same snack twice, how many different combinations of 2 snacks and 1 drink could you have? Note, we consider the order of choosing snacks does not matter.
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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…
Travis's carpet has an area of 180 square feet. He hires the CarpetPro carpet cleaning service, which is able to clean 9 square feet of his carpet every minute. Therefore, in the first minute, CarpetPro is able to clean 9 square feet of Travis's carpet (leaving 171 square feet remaining to be cleaned). In the second minute, the cleaner is again able to clean 9 square feet of carpet (leaving 162 square feet to be cleaned), etc. Which of the following functions expresses the number of square feet that still remain to be cleaned after t minutes from the time that the carpet cleaner began cleaning this carpet. A(t)=180−0.9t A(t)=180(0.1)t A(t)=180(0.9t) A(t)=180−9t A(t)=180−0.1t

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