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Jefferson

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Submitted By egajefferson
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Jefferson Egalite
Professor Alexander McQuoid
ECO 3410
19 June 2014

Answer 1 a) Consider the experiment of a worker assembling a product. We can define a random variable as x equals to the time in minutes to assemble the product b) The possible outcomes for this experiment is the worker may assemble the product from the first second to whatever how long it takes him or her to assemble the product. Therefore, the random variable x may assume any number greater than zero in minutes, meaning any positive number. It can be noted as x > 0. c) In the experiment x is assuming to be all the value greater than zero variable, so the experimental outcomes are based on a measurement of scale. Thus, the random variable x is a continuous random variable.
Answer 2 a) The number of questions answered correctly are the possible outcomes. The experiment is based on a 20-question examination, so all the possible values the random variable can assume are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, and 20. All the possible outcomes are range from 0 to 20, that means the random variable x can take a finite number of value, therefore, x is a discrete random variable b) The random variable x representing the number of cars arriving a tollbooth may assume all the following values 0, 1, 2, 3,…, n cars in one hour. The values of the random variable x is infinite as x may assume the value of n cars in one hour, it is a discrete random variable because it is bound to stop at the number n cars. c) 0, 1, 2, 3, 4, 5,……, 50 are all the values the random variable x may assume given that x represents the number of returns containing errors on an experiment of an Audit 50 tax returns. Again, the number of values that x, the random variable, may assume is finite, so the random variable is discrete. d) If we are observing an employee’s

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