INCLASS BUS621 TEST QUESTION 1 A recent survey by a local municipality established that daily water usage by its households is normally distributed with a mean of 250 litres and a standard deviation of 45 litres. (a) Use standard normal z-tables to answer the following questions: a. What percentage of households is likely to use more than 350 litres of water per day? What is the probability of finding a household that uses less than 200 litres of water per day? What is the most amount of water used per day by the lowest consuming 12% of households? What is the most amount of water used per day by the highest consuming 25% of households? QUESTION 2 In a survey of companies, it was found that 40 were in the mining sector, 75 were in the financial sector, 30 were in the tourism sector and 55 were in the agricultural sector. . Show the data as a percentage frequency table. b. What is the probability that a randomly selected company is in the financial sector? . Ifacompany is selected at randem, what is the probability that this company is not in the agricultural sector? . What is the likelihood that a randomly selected company is either a mining or a tourism company? . Name the probability types or rules used in questions (b), (c) and (d). A web-based travel agency uses its website to market its travel products (holiday packages). The agency receives an average of six web-based enquiries per day for its different travel products. a. What is the probability that, on a given day, the agency will receive at most three web-based enquiries for its travel products? . What is the probability that, on a given day, the travel agency will receive two or five web-based enquiries for travel packages? . What is the probability that the travel agency will receive at least 2 web-based enquiries for travel packages on a given day? . What is the probability that the travel agency will receive no more than two web- based enquiries for travel packages in a half-day period