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Describing Random Variables and Their Distributions
| Content Provider | Scilit |
|---|---|
| Author | Subrahmaniam, Kathleen |
| Copyright Year | 2018 |
| Description | As a part of a program in mathematics a class of 50 children was given a quiz consisting of five questions. Let X be the number of questions answered correctly by each student. Clearly X can assume the values 0, 1, 2, 3, 4 or 5. How would you determine the average score in the class? When we consider the entire class, there are 50 values which X takes on. Some are obviously repetitions since X takes on only six distinct values. The quiz results might be summarized as: Number correct 0 1 2 3 4 5 Number of students 2 2 6 20 15 5 We could obtain the average by adding the 50 individual scores and then dividing by 50. Due to the repetitions in the observations, the average can be obtained as a weighted average: the observations might be summarized as: Number correct 0 1 2 3 4 5 Number of students n0 nx n2 n3 n4 n5 5 where E._q n^ = N, the total number of students. Based on the concept of approximating probabilities by relative frequencies, we would say that the quantities n0/N , n j/N , . . . , n5/N would approach the probability of a child having 0, 1, . . . , 5 correct answers, respectively, as N increases. Book Name: A Primer in Probability |
| Related Links | https://content.taylorfrancis.com/books/download?dac=C2009-0-20952-4&isbn=9781315273211&doi=10.1201/9781315273211-10&format=pdf |
| Ending Page | 156 |
| Page Count | 18 |
| Starting Page | 139 |
| DOI | 10.1201/9781315273211-10 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2018-10-08 |
| Access Restriction | Open |
| Subject Keyword | Book Name: A Primer in Probability History and Philosophy of Science Children Average Score Quiz Repetitions Takes Answered Number of Students |
| Content Type | Text |
| Resource Type | Chapter |
