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Hello students.
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Today we will discuss about this question.
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In this question we are given that a multiple choice test consists of eight questions and three answers to each question.
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So here total eight questions and three answers to each question.
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If a student answers each question by rolling a balance die and checking the first answer if he gets 1 or 2, the second answer if he gets 3 or 4, and the third answer, if he gets 5 or 6, then what is the probability that here we need to find the probability that he will get exactly 4 correct answer, that is equals to question mark? and here the number of correct answer is so random variable y, then we need to find what is the pdf of y.
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So here, first of all, equation that consists of three options.
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So here, the student choose the option based on diat.
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So therefore, the probability of selecting one option that is equals to 1 divided by 3.
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Now a probability of selecting a second option that is equals to 1 divide by 3 and the probability of selecting a third option that is equal to 1 divide by 3...