Assignment 2_Tri1_2020.pdf - STAT 193 Statistics in...

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STAT 193Statistics in PracticeAssignment 2Due: midnight Thursday 21 May 2020——————————————————————————————————————–This assignment is worth 13% of your final grade.Attempt all questions, there are 100 marks in total.Where you are asked to construct a graph (for example in Excel), youmust include it in your answer script. Label your graph appropriately.In questions 3 and 4 you are asked to include in your document sketchesof the normal curve. One way to do this is to take photos on your phoneof your sketches and paste them into your document.When you submit your assignment it must be just one PDF document.You must submit your assignment online via Blackboard (all instructionsunderAssignmentstab).Please ensure your assignment is reasonablywell spaced so that it is easier to mark.In case of illness, bereavement or significant technical problems, lateassignments may be accepted without incurring a penalty, but you mustemail us on[email protected]to arrange this.You may work together on assignments, but you must write alone.Plagiarism is not acceptable.——————————————————————————————————————–STAT193 2020 Trimester 11Assignment 2
1.[12 marks]In the following situations, identify the random variable of interest(e.g. ‘LetXmeasure/count ...’). Then state whether or not the r.v. is binomial,justifying your answer.(a)[4 marks]A police officer randomly selects 30 cars to find out how many donot have a current Warrant of Fitness (WOF). She knows from experience thatthe probability a car does not have a current WOF is16.(b)[4 marks]Ten light bulbs are randomly selected from a batch and the lengthsof time they last before they fail is measured.(c)[4 marks]Mike is repeatedly rolling two dice and will stop when he gets adouble six. He counts the number of rolls until he gets a ’success’.2.[17 marks]May is interested in purchasing the local hardware store in her home-town. After examining the store accounts for the past two years, she found that thestore had been earning a gross amount of over $850 per day for 70% of the businessdays it was open. A random sample ofn= 20 business days is selected from the

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