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The following are descriptions of variables. In the blanks, write the distributi

ID: 3124621 • Letter: T

Question

The following are descriptions of variables. In the blanks, write the distribution of that data. In the space provided, defend your choice. Be very explicit in your reasons. I expect you to look up terms that are unfamiliar to you. I also expect you to do (a little) research on these variables. These are three points each. The total number of points scored in a soccer game The number of people in a sample who are left handed The alcohol content of a mug of Coors Light The jersey number of the player who kicks the winning goal in a soccer game The gross domestic product per capita of an African country

Explanation / Answer

1. Score in a soccer game can be theoretically any integer from 0 to infinity.Therefore, it is better to model it by a Poisson Distribution .

2. Let there be 'n' no. of people sampled, out of these people the no. of left handed people can be modelled as no. of success( left-handed people ) out of 'n' independent trials.So, a Binomial Distribution can be fitted to the above case.

3. The alcohol content of a mug of a coors light can be any real value but in generally be clustered around a particular value and it is expected that amount of alcohol of a particular specimen will be as equally lesser as can be expected to be greater also.So this will be an ideal instance of Normal Distribution .

4. Okay there are 11 players in general in every team so altogether 22 players in a field and once we note down their jersey numbers then the winning scorer can be any one of "jersey number"-s of a player of the team ahead in score and this indicates to fit a Discrete Uniform Distribution to those jersey numbers.

5. The gross domestic product per capita of an african country can not be this way foretold until and unless we have data on it since, there is no general curve depicting GDP ( per capita ) for every country or continent.

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