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In a certain city, the daily consumption of electric power in millions of kilowatt-hours, is a...
6. In a certain city, the daily consurmption of electric power, in millions of kilowatt-hours, can...
6. In a certain city, the daily consurmption of electric power, in millions of kilowatt-hours, can be treated as a random variable having a gamma distribution with o-3 and 0 -3. If the power plant has a daily capacity of 12 million kilowatt-hours, what is the probability that this power supply will be inadequate on any given day? Scanned with CamScanner
A power company has a maximum daily capacity of 5 million kilowatt-hours (kWh) of electric power...
A power company has a maximum daily capacity of 5 million
kilowatt-hours (kWh) of electric power available. The daily demand
for power from customers is the total of the peak hours demand and
off-peak hours demand. The following functions estimate the
high-demand (peak) hours and low-demand (off-peak) hours (unit in
millions of kWh):
High demand : 10 – 0.08ph + 0.007pl
Low demand : 9 – 0.18pl + 0.004ph , where variable pl represents
the price per kilowatt-hour during low-demand...
Example 7 The amount of electricity (in hundreds of kilowatt-hours) that a certain power company is...
Example 7 The amount of electricity (in hundreds of kilowatt-hours) that a certain power company is able to sell in a day is found to be a random variable with the following probability density function (pdf): kx k(10-x): 0: 0sxs5 5 x 10 elsewhere n) = (i) (ii) Find the value of k. What is the probability that the amount of electricity that will be sold is more than 600 kilowatt-hours. (ii) What is the probability that the amount of...
According to the records of an electric company serving the Boston area, the mean electricity consumption...
According to the records of an electric company serving the Boston area, the mean electricity consumption for all households during winter is 1650 kilowatt-hours per month. Assume that the monthly electricity consumptions during winter by all households in this area have a normal distribution with a mean of 1650 kilowatt-hours and a standard deviation of 320 kilowatt-hours. Find the probability that the monthly electricity consumption during winter by a randomly selected household from this area is less than 1907 kilowatt-hours....
4. CIP has three electric power plants that supply the power needs of four cities. Each power plant can supply the following numbers of kilowatt-hours (kwh) of electricity: plant 1, 35 million; pl...
4. CIP has three electric power plants that supply the power needs of four cities. Each power plant can supply the following numbers of kilowatt-hours (kwh) of electricity: plant 1, 35 million; plant 2, 50 million; plant 3, 40 million. The peak power demands in these cities, which occur at the same time (2:00 P.M.), are as follows (in kwh): city A, 20 million; city B, 20 million; city C, 30 million; city D, 30 million. The costs of sending...
According to the records of an electric company serving the Boston area, the mean electricity consumption...
According to the records of an electric company serving the Boston area, the mean electricity consumption for all households during winter is 1650 kilowatt-hours per month. Assume that the monthly electricity consumptions during winter by all households in this area have a normal distribution with a mean of 1650 kilowatt-hours and a standard deviation of 320 kilowatt-hours. Find the probability that the monthly electricity consumption during winter by a randomly selected household from this area is less than 1861 kilowatt-hours.
The daily use of electricity (measured in megawatt-hours) in a certain town is a normal random...
The daily use of electricity (measured in megawatt-hours) in a certain town is a normal random variable with a mean of 18 and a standard deviation of 6. What is the probability that on a given day, the use of electricity will be between 15.6 and 19.5 megawatt-hours? Refer to the information in Problem 1. When the daily use of electricity exceeds the capacity of the power plant, a blackout occurs. If we know that the probability of a...
The amounts of electricity bills for all households in a city have a skewed probability distribution...
The amounts of electricity bills for all households in a city have a skewed probability distribution with a mean of $145 and a standard deviation of $36. Find the probability that the mean amount of electric bills for a random sample of 75 households selected from this city will be between $137 and $150. Round your answer to four decimal places.
Question 12 out of 10 points A home has the following electric power consumption for a...
Question 12 out of 10 points A home has the following electric power consumption for a year. Month KWh Used 750 832 845 998 1875 1950 1460 950 960 800 760 802 Aug Sep Oct Nov Jan Feb Mar Apr May Jun Jul (Give whole numbers for all answers) What are the average KWH per month? [a] Assuming a 30 day month, what are the average KWH per day? [bl Assume 4.5 hours of sun shine per day. Before any...
Statistic course You are performing a study about daily water consumption of UVI Students (in fluid...
Statistic course You are performing a study about daily water consumption of UVI Students (in fluid ounces). You randomly select 20 students and record the daily water consumption shown below: 81 60 90 87 75 80 66 75 82 84 82 64 100 94 77 94 70 79 75 85 3. Find the five-number summary and construct a box and whisker plot for the data set. (7 pts.) 4. Find the variance and Standard deviation of the data set. Round...
6. In a certain city, the daily consurmption of electric power, in millions of kilowatt-hours, can be treated as a random variable having a gamma distribution with o-3 and 0 -3. If the power plant has a daily capacity of 12 million kilowatt-hours, what is the probability that this power supply will be inadequate on any given day? Scanned with CamScanner
A power company has a maximum daily capacity of 5 million
kilowatt-hours (kWh) of electric power available. The daily demand
for power from customers is the total of the peak hours demand and
off-peak hours demand. The following functions estimate the
high-demand (peak) hours and low-demand (off-peak) hours (unit in
millions of kWh):
High demand : 10 – 0.08ph + 0.007pl
Low demand : 9 – 0.18pl + 0.004ph , where variable pl represents
the price per kilowatt-hour during low-demand...
Example 7 The amount of electricity (in hundreds of kilowatt-hours) that a certain power company is able to sell in a day is found to be a random variable with the following probability density function (pdf): kx k(10-x): 0: 0sxs5 5 x 10 elsewhere n) = (i) (ii) Find the value of k. What is the probability that the amount of electricity that will be sold is more than 600 kilowatt-hours. (ii) What is the probability that the amount of...
4. CIP has three electric power plants that supply the power needs of four cities. Each power plant can supply the following numbers of kilowatt-hours (kwh) of electricity: plant 1, 35 million; plant 2, 50 million; plant 3, 40 million. The peak power demands in these cities, which occur at the same time (2:00 P.M.), are as follows (in kwh): city A, 20 million; city B, 20 million; city C, 30 million; city D, 30 million. The costs of sending...
The amounts of electricity bills for all households in a city have a skewed probability distribution with a mean of $145 and a standard deviation of $36. Find the probability that the mean amount of electric bills for a random sample of 75 households selected from this city will be between $137 and $150. Round your answer to four decimal places.
Question 12 out of 10 points A home has the following electric power consumption for a year. Month KWh Used 750 832 845 998 1875 1950 1460 950 960 800 760 802 Aug Sep Oct Nov Jan Feb Mar Apr May Jun Jul (Give whole numbers for all answers) What are the average KWH per month? [a] Assuming a 30 day month, what are the average KWH per day? [bl Assume 4.5 hours of sun shine per day. Before any...
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