Random TV Watching Time Collection

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Statistics and Probability
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The data collection will be the time in minutes I spend to watch TV. To record the time astopwatch as a paper weight is going to be used which is being put besides my pillow. Iusually watch TV in the evening time, so whenever I will watch it, I will start the watch andstop it when the program is finished or I am off of this. Then the minutes I would enter on theblank page which was under the stopwatch, this will make it easier.This collection of data is random in nature because it was not collected purposely, I do watchTV daily, and hence there is no biased-ness associated with the data set. But in the eveningtime I do not wait for the clock to get to 6 or 7, I just start it whenever I get free with someother personal stuff.The data collected for first five days is as shown in the below table:Day173 MinutesDay280 MinutesDay365 MinutesDay420 MinutesDay569 MinutesThe average of these five days TV watching time is calculated as below:73 80 65 20 69Average561.4Therefore, on an average 61.4 Minutes are spent to watching TV every day. In this data theminutes are independent variables because this can be changed independently while makingthe experiment and day is a controlled variable because there are only 24 hours in a dayhence it is fixed. Let’s calculate the probability that I watch TV at least 70 Minutes every day. Since, there aretwo days on which I watched TV more than 70 Minutes will be used for calculation as shownbelow:
2At least 70 Minutes50.4PIt means that there are 40% chance, I will watch TV at least 70 Minutes every day. Thiscollection of data and calculating probabilities from it shows that it is an experimentalprobability case because we are trying to experiment the TV watching habits to makepredictions about this behavior, but if we expect something to happen without anycalculation, for example: The probability which is calculated from the provided data isreferred to as the theoretical probability case since it does not have any prior calculation tomake a judgment. Now suppose the data is provided by my parents as shown below:Day170 MinutesDay280 MinutesDay386 MinutesDay472 MinutesDay569 MinutesNow again calculate the probability that I watch TV at least 70 Minutes every day. Since,there are two days on which I watched TV more than 70 Minutes will be used for calculationas shown below:4At least 70 Minutes50.8PIt means that there are 80% chance, I will watch TV at least 70 Minutes every day. Theprobability calculated on the basis of data collected by me makes a prediction of watching theTV 70 minutes or more everyday has a 40% chance. And the probability calculated on thebasis of data given by my parents makes a prediction of watching the TV 70 minutes or moreevery day has an 80% chance. So there is a big difference between these two predictionsbecause theoretical probabilities are based on the events which are calculated by using our

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