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Instructions: All computations must be fully documented. All results of computat

ID: 3530398 • Letter: I

Question

Instructions: All computations must be fully documented. All results of computations should be rounded approximately. Answer in complete sentences when explanations are called for. Number pages and staple (do paper -clip or fold the corners!) together. You do not need to include this page. For each of the following random variables, tell whether it would naturally reprint a finite, discrete, or continuous random variable. Explain your reasoning. X is the sum of the numbers showing when two dice are thrown. X is the number of customers who walk into a shop between noon and 1 PM on some particular day. X is the amount of orange juice in a randomly chosen " 8-ounce" carton of juice. [Note: scare quotes are there to emphasize that the carton label claims it has 8 ounces of juice.] X is the length of time it takes a certain computer program to run. [Interesting question: why is this a random variable at all? But assuming that it makes sense to call it a random variable, which I think is true, there seem to be two defensible answers to the question of which type it is. Think hard about your reasons for choosing one here.] X is the number of times you play the lottery until you win. (We'll assume that once you win you stop playing!] X is the number of women in a randomly chosen sample of 500 New York City residents. For the experiment, flip a coin until heads shows, assume that the probability of heads on one flip is 3/4.We define a RV X = the number of flips. What are the possible values of X ?

Explanation / Answer

1) finite

2)discrete

3)continous

4) finite

5)discrete

6)finite