Which of these random variables has a geometric model?
A) The number of Democrats among a group of 20 randomly chosen adults.
B) The number of cars inspected until we find three with bad mufflers.
C) The number of people we check until we find someone with green eyes.
D) The number of aces among the top 10 cards in a well-shuffled deck.
E) The number of cards of each suit in a 10-card hand.

Question

Quizplus · Accepted Answer

The geometric model applies to scenarios where we are counting the number of trials until the first success in a series of independent Bernoulli trials, each with the same probability of success. Choice C, "The number of people we check until we find someone with green eyes," fits this description, as it involves looking for the first occurrence of a 'success' (finding a person with green eyes) in a series of independent trials (checking people).

Which of These Random Variables Has a Geometric Model