3. Discrete R.V. & Binomial a.) Let X~ Bin (7, 0.3). Calculate 1.) P (X= 1) 2.) P (X< 1) 3.) P (X> 4) 4.) μ 5.) o b.) Assume a student shows up for EGR *** completely unprepared and the instructor gives a pop quiz. Assume there are 5 questions, every single question is multiple choice question. Assume that each question has four options (a, b, c, d), the student selects the answer randomly. Also assume that whether one question is answered correctly is independent of whether or not another question is answered correctly. 1. For each single question, what it the probability (p) that the student answers correctly? 2. If the student correctly answers at least three questions, the student passes the quiz. What is the probability that the student passes the quiz? Hint: Binomial Probability Formula: fx -p1p 3. What is the expected value (E(x)) for the quantity of questions that were answered correctly?

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A:

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A: Q.

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A: