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Question 6 (10 marks total) The total weights of garbage that households discard

ID: 3058114 • Letter: Q

Question

Question 6 (10 marks total) The total weights of garbage that households discard weekly are approximately no rmally distributed, with a mean of 12.5 kg and a standard deviation of 4.0 kg a. If a household is randomly selected, what is the probability that the weight of its b. If the town's waste transfer station allocates capacity for 1360 kg of temporary discarded garbage is over 15.5 kg? (3 marks) based garbage storage per 100 households per week, and the typical garbage route is on 100 househol ds, what percentage of garbage routes will exceed the allocated capacity for their garbage? (4 marks) What garbage weight is exceeded by 25% of households? (3 marks) C. Question 7 (4 marks) A politician received 60% of the votes in the last election. She now wants to gauge public opinion as the next election approaches. A random sample of 10 voters is selected. What is the probability that, at most, 2 of them said they will vote for her?

Explanation / Answer

Question 6 (10 marks total) The total weights of garbage that households discard weekly are approximately no rmally distributed, with a mean of 12.5 kg and a standard deviation of 4.0 kg a. If a household is randomly selected, what is the probability that the weight of its b. If the town's waste transfer station allocates capacity for 1360 kg of temporary discarded garbage is over 15.5 kg? (3 marks) based garbage storage per 100 households per week, and the typical garbage route is on 100 househol ds, what percentage of garbage routes will exceed the allocated capacity for their garbage? (4 marks) What garbage weight is exceeded by 25% of households? (3 marks) C. Question 7 (4 marks) A politician received 60% of the votes in the last election. She now wants to gauge public opinion as the next election approaches. A random sample of 10 voters is selected. What is the probability that, at most, 2 of them said they will vote for her?

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