Question: 1 Suppose that on a certain multiple-choice test, there are five choices for each question. For each wrong answer you lose 1/4 point, and

1 Suppose that on a certain multiple-choice test, there are five choices

1 Suppose that on a certain multiple-choice test, there are five choices for each question. For each wrong answer you lose 1/4 point, and for each right answer you gain a point. For a single question on which you guess at random, below is the probability distribution ("probability mass function") of your score Y: Yi Pi -1/4 4/5 1 1/5 A State and explain briefly what the notation E(Y) refers to. Is E(Y) a function of Y? Is E(Y) a single number? B Find E(Y). C Find Var(Y). D Find the standard deviation y for this random variable.

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