Consider a random process that involves repeatedly rolling a rubber pig. If the pig lands on its feet, a person scores 10 points. Otherwise, a person scores zero points. Which of the following is a geometric random variable?
A) The number of times the pig lands on its feet when the pig is rolled 20 times.
B) The number of rolls until the pig lands on its feet for the first time.
C) The total number of points a person scores in five rolls.
D) The time the pig spends in the air on one roll.

Question

Quizplus · Accepted Answer

The number of rolls until the pig lands on its feet for the first time is a geometric random variable because it represents the number of trials until a success occurs.

Consider a Random Process That Involves Repeatedly Rolling a Rubber