Identify and discuss the two major categories of probability interpretations, whose adherents possess conflicting views about the fundamental nature of probability?
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- I do not know how I am supposed to start this question, but I believe the answer is A,B,C,F. Is that correct? -Thank youDemographics of social media news consumers: In 2017, the users of Facebook for news was distributed according to the following age groups. Age Percentage 18-29 24.8 30-49 40.1 50-64 24.1 65+ 11 Please convert all answers to decimal form. a. What is the probability that a Facebook News user selected at random is between 18 and 49 inclusive? b. What is the probability that a Facebook News user selected at random is between 30 and 64 inclusive? c. What is the probability that a selected Facebook News user is under 65?The following probability model shows the number of cars owned by American households, along with the probabilities associated with owning each number of cars. If we select a household at random, what is the probability this household will own at least two cars? Number of cars owned 0 1 2 3 4 5 6 or more Probability 0.13 0.31 0.26 0.19 0.07 0.03 0.01
- A proper explanation is requiredA. (a) In a school, 27% of the students failed in mathematics, 16% failed in physics and 9% failed both mathematics and physics. A student is selected at random, if the student failed in physics,what is the probability that the student failed in mathematics? What is the probability that the student failed mathematics or physics? (b) The probability of guessing at least 8 out of 10 correct answers in a true or false examination is 764. Check the trustworthiness of the answer. (c) A television news director wishes to use three news stories on an evening show. One story will be the lead story, one will be the second story, and last will be the closing story. If the director has a total of 8 stories to choose from, how many possible ways can the program be set up?The following table shows the number of students in three different degree programs and whether they are undergraduate students or graduate students: Degree Program Undergraduate GraduateTotal Business 150 50200 Engineering 150 25175 Arts & Sciences 100 25125 Total 400 100 502 What is the probability that a randomly selected student is a graduate Business major?
- Is the following a probability model? What do we call the outcome "yellow"? Color Probability red 0.2 0.2 green blue 0.15 brown 0.25 yellow orange 0.2 Is the table above an example of a probability model? O A. Yes, because the probabilities sum to 1. O B. No, because not all the probabilities are greater than 0. OC. No, because the probabilities do not sum to 1. O D. Yes, because the probabilities sum to 1 and they are all greater than or equal to 0 and less than or equal to 1.4. DETAILS MY NOΤES The mean weight of a box of cereal filled by a machine is 18.0 ounces, with a standard deviation of 0.4 ounce. If the weights of all the boxes filled by the machine are normally distributed, what percent of the boxes will weigh the following amounts? (Round your answers to two decimal places.) (a) less than 17.7 ounces % (b) between 17.8 and 18.2 ouncesThe following problem includes 5 parts.First, state the definition of conditional probability. Second, use the definition of conditional probability and derived rules to prove Bayes’ Theorem. Third, state Bayes’ Rule. Fourth, explain the difference between Bayes’ Theorem and Bayes’ Rule. Fifth, construct and solve a probability reasoning problem that uses Bayes’ Theorem.
- A of athletes at a high school is conducted, and the following facts are discovered: 25% of the athletes are survey football players, 60% are basketball players, and 13% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that the athlete is either a football player or a basketball player? Probability = (Please enter your answer as a percent) License"What are the key principles and concepts that underlie the field of probability theory, and how do they contribute to our understanding of uncertainty and randomness in various real-world phenomena, ranging from weather patterns and financial markets to medical diagnoses, and how has the historical development of probability theory shaped its applications in diverse fields?"A new boarding policy has been proposed by an airline. Frequent flyers and non-frequent flyers were asked for their opinions, and the results are summarized in the table shown here. Find the probability a person chosen at random from among the people surveyed favors the new policy given they are a frequent flyer. Opinion on Policy In Favor Of Neutral (B) Opposed To (A) (C) Frequent Fliers (D) 48% 23% 4% 75% Non-Frequent Fliers (E) 15% 3% 7% 25% 63% 26% 11% 100%
