a) 10 correctThere are 20 questions with 4 options each.Probability of guessing a right answer each time is ¼ = 0.25So, probability of guessing 10 correct answers is P(X=10)(2010)(0.25)10(0.75)10= 0.0099b) Probability of guessing at least 5 correct is P(X≥5¿∑k=520