Suppose a random sample of 824 athletes from the college are asked what their major is. The table below shows the results of the survey. Observed Frequencies of Majors from the Sample Outcome Observed Frequency Math/Science 185 Arts & Humanities 206 Business & Economics 264 Other 169 The distribution of majors at the college is shown in the second column of the table below. Fill in the expected frequencies. (Round to the nearest whole number). Frequencies of Majors at the College Outcome Expected Percent Expected Frequency Math/Science 24 Arts & Humanities 22 Business & Economics 21 Other 33
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
Suppose a random sample of 824 athletes from the college are asked what their major is. The table below shows the results of the survey.
Observed Frequencies of Majors from the Sample
| Outcome | Observed Frequency |
|---|---|
| Math/Science | 185 |
| Arts & Humanities | 206 |
| Business & Economics | 264 |
| Other | 169 |
The distribution of majors at the college is shown in the second column of the table below. Fill in the expected frequencies. (Round to the nearest whole number).
Frequencies of Majors at the College
| Outcome | Expected Percent | Expected Frequency |
|---|---|---|
| Math/Science | 24 |
|
| Arts & Humanities | 22 | |
| Business & Economics | 21 | |
| Other | 33 |
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