3. (Binomial Distribution) There are 100 multiple choice questions on an exam, each having responses a, b, c, or d. Suppose each student has probability of p of correctly answering a question chosed...

part 3 a,b,c,d

Extracted text: 3. (Binomial Distribution) There are 100 multiple choice questions on an exam, each having responses a, b, c, or d. Suppose each student has probability of p of correctly answering a question chosed at random from a universe of possible questions. In addition, the answers from question to question are independent. Let random variable X be the number of questions for 2 which the student answers correctly. 4 (a) We can see the distribution of X is Binomial distribution with n an p. What are n and p ? Expression: X~ B(n, p); X ~ B (n = 5 (b) What is the probability that the student will score exactly 25 of 100 points? (If possible, use Excel function, "binom.dist") (c) What is the probability that the student will score more than 25 points? (If possible, use Excel function, "binom.dist") P (d) On average, how many points the student will score?