2. This question relates to the use of statistics to calculate live loads. (Assume) you have...

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2. This question relates to the use of statistics to calculate live loads. (Assume) you have recorded the weight of the first eight people that enter the room to be as follows; 70, 65, 80, 60, 81, 59, 55, 71kg. Assume the floor area they occupy to be 6m?. a) b) Calculate the average mass Calculate the standard deviation of the mass - it is OK to use a calculator function, or else n n(n-1) c) Based on the oceupied floor area above of 6m?, calculate the value of the load in kN/m?. If we assume that the distribution of the weights of people is a normal distribution, then we can use the following facts: 68.3% of the area under the probability density function is within 1 SD each side of the mean 90% of the area under the probability density function is within 1.65 SD's each side of the mea 95.6% of the area under the probability density function is within 2 SD's each side of the mean Assuming a normal distribution, determine the mass (kg) that has only a 5% chance of being exceeded, i.e. the characteristic load. Assuming a normal distribution once again, determine the load (kN/m2) that has only a 5% chance of being exceeded, i.e. the characteristic load in kN/m2. d) e) 2. This question relates to the use of statistics to calculate live loads. (Assume) you have recorded the weight of the first eight people that enter the room to be as follows; 70, 65, 80, 60, 81, 59, 55, 71kg. Assume the floor area they occupy to be 6m?. a) b) Calculate the average mass Calculate the standard deviation of the mass - it is OK to use a calculator function, or else n n(n-1) c) Based on the oceupied floor area above of 6m?, calculate the value of the load in kN/m?. If we assume that the distribution of the weights of people is a normal distribution, then we can use the following facts: 68.3% of the area under the probability density function is within 1 SD each side of the mean 90% of the area under the probability density function is within 1.65 SD's each side of the mea 95.6% of the area under the probability density function is within 2 SD's each side of the mean Assuming a normal distribution, determine the mass (kg) that has only a 5% chance of being exceeded, i.e. the characteristic load. Assuming a normal distribution once again, determine the load (kN/m2) that has only a 5% chance of being exceeded, i.e. the characteristic load in kN/m2. d) e)