Question

Identify the Distribution

Select the Distribution that best fits the definition of the random variable X in each case.

Question 1) In a single game of (American) roulette, a small ball is rolled around a spinning wheel in such a way that it is equally likely to land in any of 38 bins. Sixteen of the bins are Red, another 16 are Black, and the remaining 2 are Green. Suppose 5 games of roulette are to be played. What is the joint distribution of the number of times the ball lands Red and the number of times the ball lands Green?

	Discrete Uniform
	Hypergeometric
	Binomial
	Negative Binomial
	Geometric
	Poisson
	Continuous Uniform
	Exponential
	Normal
	Multinomial
	None of the Above

Question 2) Each hurricane independently has a certain probability of being classified as "serious." A climatologist wants to study the effects of the next 5 serious hurricanes. X = the number of non-serious hurricanes observed until the data is collected.

	Discrete Uniform
	Hypergeometric
	Binomial
	Negative Binomial
	Geometric
	Poisson
	Continuous Uniform
	Exponential
	Normal
	Multinomial
	None of the Above

Question 3) The amount of anesthetic required to keep a person asleep during a 1-hour surgery is directly related to their weight. A hospital is performing 10 such surgeries on 10 independent patients. X = the total amount of anesthetic required.

	Discrete Uniform
	Hypergeometric
	Binomial
	Negative Binomial
	Geometric
	Poisson
	Continuous Uniform
	Exponential
	Normal
	Multinomial
	None of the Above

Question 4) To measure the concentration of chemicals in rain, a square of absorbant paper is placed outside in a rainstorm for a few seconds, where raindrops are equally likely to land anywhere on it. X = the x-coordinate of a random raindrop on the paper.

	Discrete Uniform
	Hypergeometric
	Binomial
	Negative Binomial
	Geometric
	Poisson
	Continuous Uniform
	Exponential
	Normal
	Multinomial
	None of the Above

Question 5) In Lotto 6/49 a player selects a set of six numbers (with no repeats) from the set {1, 2, ..., 49}. In the lottery draw, six numbers are selected at random. Let X = the first number drawn.

	Discrete Uniform
	Hypergeometric
	Binomial
	Negative Binomial
	Geometric
	Poisson
	Continuous Uniform
	Exponential
	Normal
	Multinomial
	None of the Above

Question 6) Emails arrive at a server independently of each other at the uniform rate throughout the day with little chances of more than one email arriving at the same instant. X = time between two consecutive emails.

	Discrete Uniform
	Hypergeometric
	Binomial
	Negative Binomial
	Geometric
	Poisson
	Continuous Uniform
	Exponential
	Normal
	Multinomial
	None of the Above

Answer 1