Original Assignment MATH215 graded 100%, Assignments of Applied Statistics

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(Revision 10) Assignment 3 Overview Total marks: /75 This assignment covers content from Unit 3 of the course. It assesses your knowledge of random variables, types of random variables and various types of probability distributions, along with their means and standard deviations. Instructions ¢ Show all your work and justify all of your answers and conclusions, except for the True/False questions. ¢ Keep your work to 4 decimals, unless otherwise stated. (4 marks) 1. Circle True (T) or False (F) for each of the following statements: T Q@ The following table, which lists values of x and their probabilities, represents a valid probability distribution: ie P(x) 3 0.32 4 0.54 5 0.24 T Q The following table, which lists values of x and their probabilities, represents a valid probability distribution: ¥ P(x) 0 —.09 1 0.28 2 0.42 3 0.39 0 F_ The speed of a car travelling on the Queen Elizabeth Highway is an example of a continuous variable. T ® The binomial distribution can be used only when the probabilities of the two possible outcomes are equal. .