The contingency table below shows the results of a survey of video viewing habits by age. Video Viewing Platform Preferred Viewer Age Mobile/Laptop Device TV Screen Row Total 18–34 40 28 68 35–54 9 9 18 55+ 5 9 14 Column Total 54 46 100 Find the following probabilities or percentages: (a) Probability that a viewer is aged 18–34. (Round your answer to 2 decimal places.) Probability (b) Probability that a viewer prefers watching videos on a TV screen. (Round your answer to 2 decimal places.) Probability (c) Percentage of viewers who are 18–34 and prefer videos on a mobile or laptop device. Percentage of viewers %
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.
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| Video Viewing Platform Preferred | |||||||||||
| Viewer Age | Mobile/Laptop Device | TV Screen | Row Total | ||||||||
| 18–34 | 40 | 28 | 68 | ||||||||
| 35–54 | 9 | 9 | 18 | ||||||||
| 55+ | 5 | 9 | 14 | ||||||||
| Column Total | 54 | 46 | 100 | ||||||||
Find the following probabilities or percentages:
(a) Probability that a viewer is aged 18–34. (Round your answer to 2 decimal places.)
Probability
(b) Probability that a viewer prefers watching videos on a TV screen. (Round your answer to 2 decimal places.)
Probability
(c) Percentage of viewers who are 18–34 and prefer videos on a mobile or laptop device.
Percentage of viewers %
(d) Percentage of viewers given they are 18–34 who prefer videos on a mobile or laptop device. (Round your answer to 2 decimal places.)
Percentage of viewers %
(e) Percentage of viewers who are 35–54 or prefer videos on a mobile or laptop device.
Percentage of viewers %
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