Which distributional model would be most appropriate for each example of a rando

Question

Which distributional model would be most appropriate for each example of a random variable below (include the parameters of your model if that

can be determined from the description).

a) An average of just 1 car per week drives off without paying for their gas at a self-serve station. Let X = the time until the next customer who does

not pay for their gas.

b) An average of just 1 car per week drives off without paying for their gasat a self-serve station. Let X = the time until three more customers fail to

pay for their gas.

c) A stick is broken randomly at two spots along its length, forming three separate pieces. Let X = the proportion of the way along the length where the first break occurs.

d) Let X have the same distribution as-18Ln(U/2) where U is a uniform random variable between 0 and 2.

e) A basketball team fills their arena with 13,000 seats for every home game. Let X = the percentage of people attending the next home game that

buy at least one soda during the game.

Explanation / Answer

a) a) An average of just 1 car per week drives off without paying for their gas at a self-serve station. Let X = the time until the next customer who does ------exponential

b) gamma

c)Beta

d) Uniform

e) normal

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