Question

In: Statistics and Probability

The Metropolitan Aviation Commission is considering setting limits on noise pollution around a local airport. Currently,...

The Metropolitan Aviation Commission is considering setting limits on noise pollution around a local airport. Currently, the noise level produced by a plane taking off, measured from one of the neighborhoods near the airport, follows a normal distribution with an average of 99 decibels and a standard deviation of 5 decibels.

a) What is the probability that the generated noise level is at least 99 decibels? exactly 99 decibels?

b) Suppose there is a regulation that the noise level remains below 104 decibels in that area, what proportion of the takeoffs will be violating the regulation?

c) If the airport administration wants to be able to comply with the regulation at least 95% of the time (only 5% of takeoffs violate the regulation), to what level is it necessary to reduce the average noise level?

d) If 34 of these planes take off during the week, what is the probability that at least 9 of them violate the regulation?

Solutions

Expert Solution


Related Solutions

Suppose a state is considering three different types of fiscal limits for local governments in the...
Suppose a state is considering three different types of fiscal limits for local governments in the state--a maximum property tax rate, a limit that property tax revenue may not increase more than population and inflation rate together, or a limit that spending may not increase more than five percent. In each case, the limit may be exceeded by majority vote. Which limit is most restrictive and why? Contrast the three in terms of the sources of allowed increases in taxes...
Suppose a state is considering three different types of fiscal limits for local governments in the...
Suppose a state is considering three different types of fiscal limits for local governments in the state--a maximum property tax rate, a limit that property tax revenue may not increase more than population and inflation rate together, or a limit that spending may not increase more than five percent. In each case, the limit may be exceeded by majority vote. Which limit is most restrictive and why? Contrast the three in terms of the sources of allowed increases in taxes...
Suppose the government wants to reduce the total pollution emitted by three local firms. Currently, each...
Suppose the government wants to reduce the total pollution emitted by three local firms. Currently, each firm is creating 4 units of pollution in the area, for a total of 12 pollution units. If the government wants to reduce total pollution in the area to 6 units, it can choose between the following two methods: Available Methods to Reduce Pollution 1. The government sets pollution standards using regulation. 2. The government allocates tradable pollution permits. Each firm faces different costs,...
Suppose the government wants to reduce the total pollution emitted by three local firms. Currently, each...
Suppose the government wants to reduce the total pollution emitted by three local firms. Currently, each firm is creating 4 units of pollution in the area, for a total of 12 pollution units. If the government wants to reduce total pollution in the area to 6 units, it can choose between the following two methods: Available Methods to Reduce Pollution 1. The government sets pollution standards using regulation. 2. The government allocates tradable pollution permits. Each firm faces different costs,...
Suppose the government wants to reduce the total pollution emitted by three local firms. Currently, each...
Suppose the government wants to reduce the total pollution emitted by three local firms. Currently, each firm is creating 4 units of pollution in the area, for a total of 12 pollution units. If the government wants to reduce total pollution in the area to 6 units, it can choose between the following two methods: Available Methods to Reduce Pollution 1. The government sets pollution standards using regulation. 2. The government allocates tradable pollution permits. Each firm faces different costs,...
Suppose the government wants to reduce the total pollution emitted by three local firms. Currently, each...
Suppose the government wants to reduce the total pollution emitted by three local firms. Currently, each firm is creating 4 units of pollution in the area, for a total of 12 pollution units. If the government wants to reduce total pollution in the area to 6 units, it can choose between the following two methods: Available Methods to Reduce Pollution 1. The government sets pollution standards using regulation. 2. The government allocates tradable pollution permits. Each firm faces different costs,...
Suppose the government wants to reduce the total pollution emitted by three local firms. Currently, each...
Suppose the government wants to reduce the total pollution emitted by three local firms. Currently, each firm is creating 4 units of pollution in the area, for a total of 12 pollution units. If the government wants to reduce total pollution in the area to 6 units, it can choose between the following two methods: Available Methods to Reduce Pollution 1. The government sets pollution standards using regulation. 2. The government allocates tradable pollution permits. Each firm faces different costs,...
Suppose the government wants to reduce the total pollution emitted by three local firms. Currently, each firm is creating 4 units of pollution in the area, for a total of 12 pollution units.
Correcting for negative externalities - Regulation versus tradablepermitsSuppose the government wants to reduce the total pollution emitted by three local firms. Currently, each firm is creating 4 units of pollution in the area, for a total of 12 pollution units. If the government wants to reduce total pollution in the area to 6 units, it can choose between the following two methods: Available Methods to Reduce Pollution 1. The government sets pollution standards using regulation.  2. The government allocates tradable pollution permits. Each firm...
Suppose the government wants to reduce the total pollution emitted by three local firms. Currently, each firm is creating 4 units of pollution in the area, for a total of 12 pollution units.
5. Correcting for negative externalities - Regulation versus tradable permitsSuppose the government wants to reduce the total pollution emitted by three local firms. Currently, each firm is creating 4 units of pollution in the area, for a total of 12 pollution units. If the government wants to reduce total pollution in the area to 6 units, it can choose between the following two methods:Available Methods to Reduce Pollution1.The government sets pollution standards using regulation.2.The government allocates tradable pollution permits.Each firm...
a) The government is currently considering setting a maximum price (price ceiling) for basic goods to...
a) The government is currently considering setting a maximum price (price ceiling) for basic goods to ensure that people can get access to these goods at this current time. Fully explain your answer and also use a single diagram to demonstrate the likely outcomes of this policy if the maximum price is set: 1. Below the current free-market price More people would be able to afford this time but having this at a set maximum price would result in high...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT