Geometry | Unit 8: Conditional Probability | End-of-Unit Assessment

The table shows the seasons when 7 different students play a sport. One of these seven students will be selected at random. Which of these events describes students 1, 4, 5, 6, and 7 without including any of the other students?

Five hundred students are interviewed about their ways to get to school. The results are summarized in the table. Select all the statements that must be true about a student chosen at random from those interviewed.

Select all the statements or equations that show that events A and B are independent.

A report in the college newsletter used the registrar’s database for all the students in the school to look at majors and classes being taken this semester. The report includes the sentences: - One-fifth of the students at the school are taking a science class this semester. - A quarter of the students at the school are majoring in English. - Three hundred of the 6,000 students at the school are English majors taking science classes. For a follow-up story, a reporter plans to visit a science class and select a student at random in the class to interview. Is there enough information from the original story to find the probability that the selected student in the science class is an English major? If so, find the probability and show your reasoning. If not, what additional information from the original report would help to find the probability?

One of these 100 students is selected at random to give more detailed answers to some follow-up questions. 1. What is the probability that the chosen student has taken a public speaking class or is majoring in business administration? 2. What does $$P(\text{taken a public speaking class | majoring in business administration})$$ represent for this survey? 3. Find the value of $$P(\text{taken a public speaking class | majoring in business administration})$$ .

Shrimp are often found in tropical climates and can be raised on farms or caught in the wild. Elena was taking inventory of 1-pound shrimp packages at the end of the day at a seafood market. She recorded the country of origin and whether the package contained shrimp that were farm-raised or wild-caught. - 27 packages of shrimp were farm-raised in Mexico. - 40 packages of shrimp were farm-raised in Honduras. - 52 packages of shrimp were farm-raised in Ecuador. - 13 packages of shrimp were wild-caught in Mexico. - 6 packages of shrimp were wild-caught in Honduras. - 28 packages of shrimp were wild-caught in Ecuador. 1. Construct a two-way frequency table to summarize the data based on country of origin and whether the shrimp were wild-caught or farm-raised. 2. A package of shrimp is selected at random from those inventoried. Are the events “wild-caught” and “came from Honduras” independent? Explain your reasoning.

A mobile game designer is curious about people buying additional coins in the game to progress through the levels in the game. After a beta test including 100 players, the designer determined the probability that a randomly chosen beta tester played fewer than 3 hours per week and purchased fewer than 10 coins is 0.45.