The probability of selecting 2 baseball players and 3 basketball players for an intermural competition at a small sports camp would best be modelled with the ___.
A) binomial distribution
B) hypergeometric distribution
C) Poisson distribution
D) hyperbinomial distribution
E) exponential distribution

Question

Quizplus · Accepted Answer

The hypergeometric distribution is the most appropriate choice for this scenario, as it deals with the probability of drawing a certain number of objects (in this case, baseball and basketball players) without replacement from a finite population (in this case, the total number of athletes at the sports camp). The binomial distribution assumes that the events (selecting baseball and basketball players) are independent, which may not be the case if the total number of athletes is small. The Poisson distribution deals with events that occur randomly over time or space, which does not apply to this scenario. The hyperbinomial and exponential distributions are not appropriate for this scenario.

The Probability of Selecting 2 Baseball Players and 3 Basketball