Identify the Distribution

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

Question 1) In a single game of (American) roulette, asmall ball is rolled around a spinning wheel in such a way that itis equally likely to land in any of 38 bins. Sixteen of the binsare Red, another 16 are Black, and the remaining 2 are Green.Suppose 5 games of roulette are to be played. What is the jointdistribution of the number of times the ball lands Red and thenumber 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 certainprobability of being classified as \"serious.\" A climatologist wantsto study the effects of the next 5 serious hurricanes. X = thenumber of non-serious hurricanes observed until the data iscollected.

	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 aperson asleep during a 1-hour surgery is directly related to theirweight. A hospital is performing 10 such surgeries on 10independent patients. X = the total amount of anestheticrequired.

	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 inrain, a square of absorbant paper is placed outside in a rainstormfor a few seconds, where raindrops are equally likely to landanywhere on it. X = the x-coordinate of a random raindrop on thepaper.

	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 sixnumbers (with no repeats) from the set {1, 2, ..., 49}. In thelottery draw, six numbers are selected at random. Let X = the firstnumber 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 ofeach other at the uniform rate throughout the day with littlechances 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