w In a school, 60% of pupils have access to the intemet at home. A group of 8 students is chosen at random. Find the probability that a) exactly 5 have access to the intemet. b) at least 6 students have access to the intemet. QQESI'IQN 2 M&M sweets are of varying colours and the different colours occur in different proportions. The table below gives the probability that a randomly chosen M&M has each colour, but the value for tan candies is missing. m a) What value must the missing probability be? b) You draw an M&M at random from a packet. What is the probability of each of the following events? i. You get a brown one or a red one. ii. You don't get a yellow one. iii. You don't get either an orange one or a tan one. iv. You get one that is brown or red or yellow or green or orange or tan. QUESTION 3 Easy Tailoring House is a well-known tailoring house that provide high quality product to their customers. While customer satisfaction is always a priority, sometimes they failed to complete the orders in the prescribed time. Past data shows that 2% of the orders were not completed within the prescribed time. Suppose the tailoring house complete 10 orders on a certain week: a. Find the probability that exactly 1 of these 10 orders will not complete within the prescribed time. b. Find the probability that at most 1 of these 10 packages will not complete within the prescribed time. c. Find the mean and standard deviation of the probability distribution