Geometric Random Variables Answers

At a certain pizzeria, it is known that 12% of orders are for extra-large pizzas. What is the expected number of pizzas that will be ordered until the first extra-large pizza is ordered?

71% of the surface of the Earth is covered in water. A random number generator uses latitude and longitude to select a random location on Earth.

In a game of darts, there are 20 sectors on a target, and a smaller circular "bullseye" in the center. In this particular game, a player must correctly call "low,” consisting of the sectors numbered 1–10; "high,” consisting of the sectors numbered 11–20; or "bullseye,” depending on what they are trying to hit. If they hit the section they call, they are a winner. A player will attempt to hit "low" on the first throw, then will attempt to hit "high" on the second throw, then will attempt to hit "bullseye" on the third throw, and so on until hitting the section they called.

A large company boasts in their promotional literature that 74% of their employees have college degrees. Assume this claim is true.

A jar contains 11 red marbles, 12 blue marbles, and 6 white marbles. Four marbles from this jar are selected, with each marble being replaced after each selection. What is the expected number of draws until the first red marble?

In a certain board game, a 12-sided number cube showing numbers 1 through 12 is rolled. In this game, a number cube must be rolled until a number 9 or higher appears.

In a certain town, 45% of the voters support a school referendum up for a vote. Sharon will ask people about why they support the referendum, but she needs to find people who support it.

A jar contains 11 red marbles, 12 blue marbles, and 6 white marbles. Four marbles from this jar are selected, with each marble being replaced after each selection. What is the standard deviation of X, the number of draws until the first red marble?

A coin is flipped 25 times, and we would like to know the probability that 15 or more of those flips are heads side up.

A medical device company knows that the percentage of patients experiencing injection-site reactions with the current needle is 11%.