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A factory produces; car engine. The factory's engineers believe that the engine delivers an average power of 150 horsepower' and that the variance of power delivered is 30 horsepower. In testing department, sample of 30 engines were tested. Identify the probability that the sample mean X will be: i. less than 14? horsepower. ['3 marks) ii. above 158 horsepower. {4 marks) iii. in between 143 and 155 horsepower. ( 5 mrks) During the Movement Control Order (MUD), most of workers must work from home. Table 1 shows the number of employees in Company:r A and the frequency of online meetings and wehinars that employees should attend in a week during MCO. Determine the standard deviation for the following data. Number of meetings and webioars Number of Employees 1-4 18 5-8 15 11 13-16 6 Table 1 (It) marks)