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- When looking at the association between the events “likes donuts” and “owns a dog,” if the events are independent, then the probability: P (owns a dog| likes donuts) is equal to what expression? Explain your answer.(a) Student A would like to visit a country where 92% of the population speaks the native language. However, Student A does not speak and understand that language. What is the probability that at least two of three locals at the immigrant department of the airport will succeed to communicate with Student A? Answer = Answer (b) Research Scientist A investigates the infected laboratory rats in modeling human diseases. Research Scientist A finds out the probability of the laboratory rats getting infected is two out of ten. What is the probability that five laboratory rats must be required before Research Scientist A finds at least three laboratory rats but not all have been infected? Answer = Answer (c) A badminton game consists of at least two matches, and each match consists of 21 points. The probability of Player A and Player B earning a point in their matches are 80% and 90%. What is the probability difference between Player A and Player B to get their second points within…Polling As mentioned in the chapter, opinion-polling organizations contact their respondents by sampling ran-dom telephone numbers. Although interviewers now can reach about 62% of U.S. households, the percentage ofthose contacted who agree to cooperate with the surveyhas fallen from 43% in 1997 to only 14% in 2012 (PewResearch Center for the People and the Press). Eachhousehold, of course, is independent of the others.a) What is the probability that the next householdon the list will be contacted but will refuse tocooperate? b) What was the probability (in 2012) of failing to con-tact a household or of contacting the household but not getting them to agree to the interview?c) Show another way to calculate the probability inpart b.
- Please help with A B and CGender Male Female Total Preferred Subject Math 8 12 90 English Total 3 15 10 10 100 Use the two-way table to calculate the following probabilities: P(Female | English) = | P(Male | Math) |(round to the nearest thousandth) P(English | Male) =Although the rules of probability are just basic facts about percents or proportions, we need to be able to use the language of events and their probabilities. Choose an American adult aged 2020 years and over at random. Define two events: ?=A= the person chosen is obese ?=B= the person chosen is overweight, but not obese According to the National Center for Health Statistics, ?(?)=0.38P(A)=0.38 and ?(?)=0.33P(B)=0.33 . (a) Select the correct explanation describing why events ?A and ?B are disjoint. Event ?B rules out obese subjects. Some people may be considered obese and overweight. Some people are not obese nor overweight. An obese person is certainly overweight. (b) Select the correct description stating what the event ?A or ?B is. ?A or ?B is the event that the person chosen is not obese or not overweight. ?A or ?B is the event that the person chosen is overweight and obese. ?A or ?B is the event that the person chosen is overweight or obese or both. ?A or…
- A television station wants to know how its newest show is performing. The results of their poll of high school students is shown. Viewership by Grade Grades 9-10 Grades 11-12 Watch Don't Watch 7 16 What is the probability of selecti a student who watches the show or who is in grades 9-10? 0.38 0.43 0.60 0.20Answers 0.025 0.975 0.611 0.389