Read Analyze and solve the following problems. 5 points each item. Use a bond paper or whole pad paper to show your computation. Use this format to earn points credit in each item. a. Given b. Formula and substitution c. Solution d. Answer.

1. A six-sided die is rolled 12 times. What is the probability of getting a 4 five times?
2. A multiple choice test contains 20 questions with answer choices A,B,C and D. Only one answer choice to each question represent a correct answer. Find the probability that a student will answer exactly 6 questions correct if he makes random guesses on all 20 questions.
3. 25% of all students enrolled in high school XYZ are taking Algebra. 30 students are chosen at random. (a) Find the probability that exactly 7 students out of the 30-chosen are taking Algebra. (b) What is the probability that fewer than 5 students out of the 30 who are selected are taking Algebra?