![]() → Let “A and B” (described as A intersect B) represent the event “a randomly selected student is female and participates in an after-school athletics program.”īased on the descriptions above, describe the following events in words: → Let “A or B” (described as A union B) represent the event “a randomly selected student is female or participates in an after-school athletics program.” → Let “not B” represent “the complement of B.” The complement of B represents the event “a randomly selected student does not participate in an after-school athletics program.” → Let B represent the event “a randomly selected student participates in an after-school athletics program.” → Let “not A” represent “the complement of A.” The complement of A represents the event “a randomly selected student is not female,” which is equivalent to the event “a randomly selected student is male.” → Let A represent the event “a randomly selected student is female.” For example, you can investigate whether female students are more likely to be involved in the after-school athletic programs. The completed hypothetical 1000 table organizes information in a way that makes it possible to answer various questions. What cells of the two-way table represent students who are male and do not participate in after-school athletics programs? Identify which of these cells represent students who are female or who participate in after-school athletics programs. No – Do Not Participate in After-School Athletic ProgramĬonsider the cells 1, 2, 4, and 5 of Table 1. Yes – Participate in After-School Athletic Program Based on this information, complete Table 1. The athletic director indicated that 23.2% of the students at Rufus King are female and participate in after-school athletics programs. We need to know the value of cell 4 to calculate this probability. No, this probability cannot be calculated. The probability that a randomly selected male student participates in an after-school athletics program We need to know the value of cell 5 to calculate this probability.ĭ. The probability that a randomly selected student who does not participate in an after-school athletics program is male. The probability that a randomly selected student participates in an after-school athletics program The probability that a randomly selected student is female If it cannot be calculated, indicate why.Ī. See the completed table below.īased only on the cells you completed in Exercise 2, which of the following probabilities can be calculated, and which cannot be calculated? Calculate the probability if it can be calculated. What cells in Table 1 can be filled based on the information given about the student population? Place these values in the appropriate cells of the table based on this information.Ĭells 3 and 7 can be can completed from the given information. ![]() What cell in Table 1 represents a hypothetical group of 1,000 students at Rufus King High School? Yes – Participate in After-School Athletics Programs Table 1: Participation in After-School Athletics Programs (Yes or No) by Gender. The students decide to construct a hypothetical 1000 two-way table, like Table 1, to organize the data. It is also known that 58% of the school’s students are female. Suppose the following information is known about Rufus King High School: 40% of students are involved in one or more of the after-school athletics programs offered at the school. Before suggesting changes to the assignments, the students decided to investigate. However, the athletic director assigns the available facilities as if male students are more likely to be involved. Part of the problem, according to Kristin, is that female students are more likely to be involved in an after-school athletics program than male students. Students at Rufus King High School were discussing some of the challenges of finding space for athletic teams to practice after school. Engage NY Eureka Math Algebra 2 Module 4 Lesson 3 Answer Key Eureka Math Algebra 2 Module 4 Lesson 3 Example Answer Key
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