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Statistics for Data Science I, End Term

May 2021 term, 22 Aug 2021, Set POD21TEFNQPA

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Figure from the original question paper Alia wrote an exam that contains 20 multiple choice questions. Each question has 4 options out of which only one option is correct and each question carries 1 mark. She knows the correct answer of 10 questions, and for the remaining 10 questions, she chooses the options at random. Assume that all the questions are independent. Find the probability that she will score more than 18 marks in the exam. Three companies Kookabura, Dukes and SG supply 25%, 35% and 40% of the cricket balls in the international cricket matches, respectively. Past experience shows that 5%, 4% and 2% of the cricket balls produced by these companies are defective respectively. If a cricket ball was found to be defective, what is the probability that the cricket ball was supplied by Dukes?