QUESTION 4 The Happy Go Lucky Vineyard sells a large quantity of grape juice on Saturday. From past sales, the Vineyard has determined the following probabilities for sales: Barrels 5 6 7 8 9 Probability 0.15 0.2 0.17 .3 .18 Use that distribution to nd the expected number of barrels that will be sold on Saturday. Round your answer to 2 decimal places. C] QUESTION 5 A metropolitan school system consists of 3 districts - north, south, and central. The north district contains 30% of all students, the south district contains 32%, and the central district contains the remaining 38%. A minimum-competency test was given to all students: 8% of the north district students failed, 12% of south district students failed, and 15% of central district students failed. What is the probability that a student selected at random failed the test? Answer as a decimal, not a percentage, rounded to 4 decimal places. Hint: it might be a good idea to draw a probability tree to help answer this question. QUESTION 6 A manufacturing company has 20 machines in continuous operation during a weekday. The probability that an individual machine will break down during the day is 15%, Determine the probability that during any given day exactly 4 machines will break down. Round your answer to 4 decimal places