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A psychology quiz consists of ten multiple choice questions (each question is of worth 1 mark)...

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Statistics

A psychology quiz consists of ten multiple choice questions(each question is of worth 1 mark) with 5 options per question. Astudent knows the correct answer to 5 of the questions, can ruleout 1 option in 3 questions, can rule out 2 options in 1 question,can not rule out any options in 1 question. What are the expectedmarks that the student would get?

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AnswerLet Xi is the random variable which denotes the mark thestudent gets in ith question i 1110Since each question is of worth 1 mark and there is no negativemarking then we haveXi 1 when the student answers the question correctly 0 when the student answers the question wrongwe know the student knows the correct answer to 5 of thequestions can rule    See Answer
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