Probability & Statistics Quiz 1 Basic Concepts of Probability, and Random Variable and Random Distribution INSTRUCTIONS: Read each problem carefully and solve each problem. Show your COMPLETE solution. Round off your nai answer to the nearest 2 o'ecinriaer places. Write your solution legibly. LESSON 1: Solve the following problems. 1. Suppose that a family has four children. Using the tree diagram, find all the possible outcomes for the genders of the children. 2. A coin is tossed four times. Find the probability that: {a} at most 2 heads turn up, (b) exactly 2 heads turn up. 3. Find the mean, variance, and standard deviation of the scores of the students in an English test: 8, 9, 12, 18, 11, 16, 25, and 19. LESSON 2: Solve the following problems. 1. The RFS Electronics sells lphones for Apple Inc. RFS usually sells that number of lphones on Sunday. The store manager has established the following probability distribution for the number of lphones the store expects to sell on a Sunday. 0.12 0.15 0.18 Probability P(x] 0.10 How many lphones should the store manager expect to sell? What is the variance and the standard deviation? 2. Nine out of every 100 people in the Philippines have Type B positive blood. If 8 people are chosen at random, what is the probability that less than 3 people have Type B blood