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Introduction to Probability and Experimental Probability Case

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Added on  2019-09-22

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This article explains the concept of probability and experimental probability case with the help of an example of TV watching habits. It also discusses the difference between theoretical and experimental probabilities.
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Introduction to Probability 1Introduction to ProbabilityLaura Peña-DuvalMAT201 / Basic Statistic April 20, 2017Professor Qian Liu
Introduction to Probability and Experimental Probability Case_1
Introduction to Probability 2The data collection will be based on the time I spend watching television. To record the time, astopwatch will be used. I usually watch television in the evening time, so once I begin watchtelevision, I will start the stopwatch and annotate the minutes I spend in front of the television. This collection of data is random in nature because it was not collected purposely. I do watchtelevision daily, and hence there is no predisposition associated with the data set. However, inthe evening time I do not wait for a certain time to begin watching television. I watch certainsitcoms and shows that I record due to conflict of schedules. The data collected for ten days is as shown in the below table:Day173 MinutesDay280 MinutesDay365 MinutesDay420 MinutesDay569 MinutesDay675 MinutesDay772 MinutesDay873 MinutesDay968 MinutesDay1070 MinutesThe average of these ten days TV watching time is calculated as below:73 80 65 20 69 75 72 73 68 70Average1066.5Therefore, on an average 66.5 minutes are spent to watching television every day. In this data,the minutes are independent variables because this can be changed independently while making
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Introduction to Probability 3the experiment and day a controlled variable because there are only 24 hours in a day hence it isfixed. Let’s calculate the probability that I watch television at least 70 minutes every day. Since thereare six days on which I watched television more than 70 minutes it will be used for calculation asshown below:6At least 70 Minutes100.6PThis means that there is a 60% chance, I will watch television at least 70 minutes every day. Thiscollection of data and calculating probabilities shows that it is an experimental probability casebecause we are trying to experiment with the television watching habits to make predictionsabout this behavior. However, if we expect something to happen without any calculation, forexample, the probability which is calculated from the provided data is referred to as thetheoretical probability case since it does not have any prior calculation to make a judgment. Now suppose the data is provided by my parents as shown below:Day170 MinutesDay280 MinutesDay386 MinutesDay472 MinutesDay569 MinutesDay676 MinutesDay778 MinutesDay874 MinutesDay983 MinutesDay1085 Minutes
Introduction to Probability and Experimental Probability Case_3

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