A college student is looking to transfer to two universities and wants to major in STEM but the student has not picked a major. The following are the two majors offered by the two universities that the student is interested in: University A University B Mathematics Mathematics Civil Engineering Physics Electrical Engineering Computer Science Physics Chemistry Mechanical Engineering Statistics
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- Raai works at the customer service call center of a major credit card bank. Cardholders call for a variety of reasons, but regardless of their reason for calling, if they hold a platinum card, Raaj is instructed to offer them a double-miles promotion. About 6% of all cardholders hold platinum cards, and about 51% of those will take the double-miles promotion. On average, how many calls will Raaj have to take before finding the first cardholder to take the double-miles promotion? 2.525 calls (Round up to the nearest call.)A woman who was shopping in Los Angeles had her purse stolen by a young, blonde female who was wearing a ponytail. The blonde female got into a yellow car that was driven by a white male who had a mustache and a beard. The police located the blonde female named Janet Collins who wore her hair in a ponytail and had a friend who was a white male who had a mustache and beard and also drove a yellow car. The police arrested the two subjects. Because there were no eyewitnesses and no real evidence, the prosecution used probability to make its case against the defendants. The probabilities below were presented by the prosecution for the known characteristics of the thieves. Probability Distribution Characteristic Probability Yellow Car 1/10 Man with Mustache 1/4 Woman with a Ponytail 1/10 Woman with Blonde Hair 1/3 White Man with Beard 3/10 Man & Woman in car 1/100 Assuming that the characteristics listed are independent of each other, what is the probability that…My neighborhood has a lot of dogs. In fact, when I walk my dog, Wrigley, only 2% of the time do we not see any other dogs. Gary has three dogs (Salsa, Nacho, and Dublin), and we see only Gary and his dogs about 30% of the time when we are on a walk. Lesley has two dogs (Buster and Oreo), and we see only Lesley and her dogs 20% of the time when we are on a walk. Gary and Lesley’s dogs don’t get along; we never see them at the same time. Margo has one dog (Bond), and we see only Margo and Bond 25% of the time when we are on a walk. 10% of the time we see Margo and Lesley. What is the probability that Wrigley and I see both Gary (Salsa, Nacho and Dublin) and Margo (Bond) on a walk? What is the probability we see at least one dog owner on our walk? What is the probability we see only Margo or only Gary? Are the events seeing Gary and seeing Margo independent? EXPLAIN briefly. Are the events of seeing Lesley and seeing Gary mutually exclusive? EXPLAIN briefly.
- Three months later some vehicles have sold and new models have been brought into the Wheel Shop. Now, there are a different number of bicycles, tandem bicycles, and tricycles in the shop. There are a total of 135 seats, 118 front handlebars (that steer the bike), and 269 wheels. How many bicycles, tandem bicycles and tricycles are there in the Wheel Shop?There are three light bulbs in a room, and three light switches outside the room. You are outside, and want to match up which switch goes with which light bulb. You can only travel into the room once, and cannot come back in again. You can do anything you want upon entering the room. How can you set the situation so that you will know which switch goes with which light bulb?Please help me
- Each of us has an ABO blood type. We get this blood type by inheriting two alleles-one from our mother and one from our father. Each of these alleles can be A, B, or O and the combination of the two that we inherit determines our blood type. The table below explains the combinations of alleles and the blood types those combinations produce. Blood Type Alleles Inherited A and A A and B A and O B and B B and O O and O A AB A B B O Harper has alleles A and O (therefore blood type A) and Taylor has alleles A and B (therefore blood type AB). On your own paper, fill in the chart of the possible combinations of alleles that their children could inherit: allele from Taylor A B allele from Harper A O Then list the possible blood types their children can have and the probabilities of each type.An experiment is designed to see whether 3rd graders can write faster with a pen or pencil. Four third graders participate, 2 boys and 2 girls. For each child, a marble is drawn without replacement from a bucket containing 2 red marbles and 2 blue marbles. If a red marble is selected, the child gets a pen and if blue, the child gets a pencil. The children are assigned in this order: boy 1, girl 1, boy 2, girl 2. LetX be the number of boys assigned to a pen. Find E (X). Find SD(X). а. b.Oliver starts with a collection of bricks in which the combined number of blue and green bricks is odd. Explain why he cannot end up with a combined number of blue and green bricks that is even.
- Helen and her three roommates live in a two-bedroom apartment at the University of Texas at El Paso. Each has a different major (one woman is majoring in chemistry). Coincidentally, each woman has a different hair color (one is blonde). Determine each woman’s full name, hair color, and major. Joan, who isn’t Ms. Bonds, doesn’t have either of the two darker hair colors (black or brown), and neither does Irene. Glory doesn’t share a room with Ms. Carlson or the accounting major. Glory’s major isn’t physics. The physics major has brown hair. Daniels hair is neither red nor black. Bonds, whose first name is not Glory, is majoring in English. Alder and Helen are both majoring in a science and often take classes together.In this question, you are asked to comment on a student's attempt at answering the question detailed below. Read the question and the student's incorrect attempt first, then answer the questions below. The Question Ronan is building an extension to his house to facilitate a social space and games room. One of his passions is watching sport on a big screen, so he has purchased a wide-lens home cinema projector that he can connect to his laptop, instead of buying a large-screen TV. Having read the manufacturer's guide extensively, and researched his options on the internet for optimising picture quality, he decides that he would like to have a viewing area equivalent to having a 120-inch TV mounted on the wall. This means that the width of the viewing area will be 108 inches. The projector has a wide lens that covers an angle of 72°. He needs to position the projector centrally with respect to the viewing area, on a stand that you may assume is at the correct height for optimum picture…You are given the chance to play one of two games: One where there is a 20% chance of you winning 8 dollars and an 80% chance of winning 128 dollars. For the second game you have a 20% chance of winning two dollars and an 80% chance of winning 256 dollars. Which lottery is worth more on average, and how much is it worth discrete math