On a particular Thursday in August,40 Grand Canyon tourists enter a drawing for a free mule ride.Ten of the entrants are European tourists.Five entrants are selected at random to get the free mule ride.Which model best describes the number of European tourists in the random sample?
A)Binomial
B)Poisson
C)Hypergeometric
D)Uniform

Question

Quizplus · Accepted Answer

The hypergeometric distribution is appropriate in situations like this where we are drawing without replacement and are interested in the number of successes (in this case, the number of European tourists) in a sample of a fixed size (in this case, 5). The binomial distribution is appropriate in situations where we are drawing with replacement, which is not the case here since only one person can win the free mule ride. The Poisson distribution is appropriate in situations where we are interested in the number of events occurring in a fixed interval of time or space, which is not relevant in this context. The uniform distribution is used when all outcomes are equally likely, which is not the case here since the probability of selecting a European tourist is not the same as the probability of selecting a non-European tourist.

On a Particular Thursday in August,40 Grand Canyon Tourists Enter