Suggest the most appropriate distribution to model the following situations You

Question

Suggest the most appropriate distribution to model the following situations You do not have to write an explanation for your choice or state any assumptions. (a) The number of games the Brisbane Broncos must play until they have five wins. (b) The number of people you need to ask until you can find someone who knows the time. (c) The number of successful free-throws in a game of basketball, out of three. (d) The number of views of a popular YouTube video in ten minutes. (e) The number of restaurants you need to visit on a Friday night until you find one with an available table. (f) The number of text messages an MXB101 student receives in one day.

Explanation / Answer

(a) This is " Negative binomial distribution".

     Because, X = Number of failures before kth success. Here k = 5

(b) This is " Geometric distribution.

     Because , For geometric distribution, X = Number of failures before first success.

(c) This Binomial distribution,

Because, For, Binomial, X = Number of success in n trials.

(d) This is Poisson distribution.

     Becaise, For poisson, X = Number of success in large number of trials.

(e) This geometric distribution.

(f) This Poisson distribution,

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