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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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