MATH 30-2 - Weebly



MATH 30-2PROBABILITY - Module TWO Module 2 - Assignment Booklet Student: _____________________________ Date Submitted: ______________________ Lesson 1: Odds and Probability1.In baseball, hitting the ball three times out of ten times at bat is considered a very good accomplishment. (In baseball, it is written in thousandths: .300.) The last major league baseball player to hit over .400, four hits out of ten times at bat, was Ted Williams in 1941. Given the information about Williams’ career, answer the questions that follow:total number of career hits: 2654total number of times at bat in his career: 7706a.What is the probability that Ted Williams would get a hit?b.What are the odds in favour of Williams getting a hit?c.What are the odds against Williams getting a hit?2.What is the probability given the odds are 3 : 4?3.In a group of 100 people, 50 have cancer and 50 are cancer-free. Of the people with cancer, it is determined that 10 of them were exposed to a certain risk factor and 2 of those without cancer were also exposed. a.What are the odds of being cancer-free if you are exposed to cancer risk factors?b.What are the odds of being cancer-free if you are not exposed to cancer risk factors?c.Based on the odds, what are your thoughts on exposing yourself to cancer risk factors?4.You are planning an outdoor wedding and are very concerned about rain, so you have picked two dates that could be used to hold a wedding. After researching past weather statistics, you discover that the odds that it will rain on the first day are 3: 5 and the odds that it will rain on the second day are 2 : 7. Which day should you pick for the wedding day?5.Explain, using an example that is not found in the lesson, how a decision may be based on probability or odds.Lesson 2: Mutually Exclusive and Non-Mutually Exclusive Events1.Of 1400 students at Brown High School, 800 attended the first school dance of the year. Only 500 attended the next dance, and 300 attended both dances. A student is randomly selected. What is the probability that the student attended the first dance or the second dance? Make sure to round your answer to the nearest hundredth.2.The Swiss embassy in Ottawa has 62 employees. Of these workers, 42 speak German, 33 speak Italian, and 22 speak both German and Italian.a.Draw a Venn diagram.b.To the nearest hundredth, if an embassy worker is randomly selected, what is the probability of the worker not speaking German or Italian?c.To the nearest hundredth, if an embassy worker is randomly selected, what is the probability of the worker speaking German or Italian?d.To the nearest hundredth, if an embassy worker is randomly selected, what is the probability of the worker speaking only German?3.Create a problem that determines the probability of two events that are either mutually exclusive or non-mutually exclusive. Complete the following. Explain whether the problem you created is mutually exclusive or non-mutually exclusive.Create a graphic organizer, such as a Venn diagram, that supports your explanation.Provide a concise solution to the problem. Lesson 3: Independent and Dependent Events1.Describe the difference between dependent and independent events, and provide an example. Your example must include a graphic organizer, such as a Venn or tree diagram.2.a.If the probability that person A will be alive in 25 years is 0.4 and the probability that person B will be alive in 25 years is 0.6, what is the probability that they will both be alive in 25 years?b.What is the probability that person A will be alive and person B will not be alive in 25 years?3.Create a problem that determines the probability of two events that are either independent or dependent. Complete the following:Provide a description of the events as independent or dependent.Create a graphic organizer, such as a Venn diagram or a tree diagram that supports your description.Provide a concise solution to the problem.MODULE 2 – PROBABILITY SUMMATIVE ASSIGNMENTComplete the following questions from your text book. Show steps completely and clearly, as marks are assigned for mathematical literacy and communication. Always use graph paper, rulers, and pencils as necessary. Attach questions in the correct order and study notes securely to this booklet before you hand everything in. Make sure you put your name and date as well.Text: Principles of Mathematics 12 - Chapter 3: ProbabilitySection 3.1: Pages: 141 - none assignedSection 3.2: Pages: 148 to 150 #4, 6, 8, 10, 14Section 3.3: Pages: 159 to 162 #7, 9, 13, 14, 16 Section 3.4: Pages: 176 to 181 #5, 7, 13, 15Section 3.5: Pages: 188 to 191 #4, 7, 9, 13, 18Section 3.6: Pages: 198 to 201 #2, 5, 8, 10Module 2 is now complete.Once you have received your corrected work, review your instructor’s comments and prepare for your module two test. ................
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