1. (a) A team working at a factory produce steel pipes at a rate of 10...

 

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1. (a) A team working at a factory produce steel pipes at a rate of 10 per hour. What is the probability of a less than or equal to ten-minute gap in production between two pipes? (b) Working standards are being assessed through the factory and average time between production of steel pipes is noted during the morning shift on fifteen consecutive days, this data is summarised below (given to the nearest second). Use the absolute frequencies to generate a histogram of the values obtained for time between the production of pipes. Use appropriate descriptive statistics to summarise the data, you may approximate your answers to 1dp. 300 360 257 302 362 501 601 549 202 400 437 512 302 414 511 Transfer yield strength defect (c) The final step in the assessment of working standards involves a quality check on the steel pipes. A random sample of 150 defective steel pipes were taken, defective items were further classified into various types. The reasons behind failure of the pipe to pass quality checks are summarised in table 1.1: No transfer yield defect Tensile strength defect 30 [5 marks] 40 [12 marks] 55 No tensile strength defect 25 Table 1.1: Table of random sample of 150 defective steel pipes categorised according to types of defect 1. (a) A team working at a factory produce steel pipes at a rate of 10 per hour. What is the probability of a less than or equal to ten-minute gap in production between two pipes? (b) Working standards are being assessed through the factory and average time between production of steel pipes is noted during the morning shift on fifteen consecutive days, this data is summarised below (given to the nearest second). Use the absolute frequencies to generate a histogram of the values obtained for time between the production of pipes. Use appropriate descriptive statistics to summarise the data, you may approximate your answers to 1dp. 300 360 257 302 362 501 601 549 202 400 437 512 302 414 511 Transfer yield strength defect (c) The final step in the assessment of working standards involves a quality check on the steel pipes. A random sample of 150 defective steel pipes were taken, defective items were further classified into various types. The reasons behind failure of the pipe to pass quality checks are summarised in table 1.1: No transfer yield defect Tensile strength defect 30 [5 marks] 40 [12 marks] 55 No tensile strength defect 25 Table 1.1: Table of random sample of 150 defective steel pipes categorised according to types of defect

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