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Over 1500 students appeared for the exam. The entrance exam has 100 multiple choice questions, each carrying 1 mark. Each question has 4 options. Due to negative marking, every incorrect choice gets –0.33 marks. Suppose 800 students choose all their answers randomly keeping uniform probability. The expected marks for 100 questions is
  • a)
    0.75
  • b)
    0.25
  • c)
    9.37
  • d)
    0.65
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Over 1500 students appeared for the exam. The entrance exam has 100 m...
The probability distribution for X is given below
Expected marks for one question, E(X) = ∑ X P (X)
= 1(0.25) + (-0.33)(0.75)
E(X) = 0.0025
Expected marks for 100 questions = 100 × 0.0025 = 0.25
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Over 1500 students appeared for the exam. The entrance exam has 100 multiple choice questions, each carrying 1 mark. Each question has 4 options. Due to negative marking, every incorrect choice gets –0.33 marks. Suppose 800 students choose all their answers randomly keeping uniform probability. The expected marks for 100 questions isa)0.75b)0.25c)9.37d)0.65Correct answer is option 'B'. Can you explain this answer?
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