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An examination paper has 150 mutliple-choice questions of one mark each, with each question having four choices which are equally likely. Each incorrect answer fetches −0.25 mark. Suppose 1000 students choose all their answers randomly with uniform probability. The sum total of the expected marks by all these students is

Answer» An examination paper has 150 mutliple-choice questions of one mark each, with each question having four choices which are equally likely. Each incorrect answer fetches 0.25 mark. Suppose 1000 students choose all their answers randomly with uniform probability. The sum total of the expected marks by all these students is


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