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 blackout is 0.33, what is the capacity of the power plant?
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The daily use of electricity (measured in megawatt-hours) in a
certain town is a normal random...
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
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...
In a certain city, the daily consumption of electric power in millions of kilowatt-hours, is a...
In a certain city, the daily consumption of electric power in millions of kilowatt-hours, is a random variable X having a gamma distribution with mean p = 15 and variance of = 75. (a) Find the values of a and B. (b) Find the probability that on any given day the daily power consumption will exceed 15 million kilowatt-hours. (a) a= 3 B = 5 (b) The probability is (Round to four decimal places as needed.)
. Metropolitan Power and Light (MPL) tracks peak power usage, measured in gigawatts (GW), for its...
. Metropolitan Power and Light (MPL) tracks peak power usage, measured in gigawatts (GW), for its service area. MPL reports that in January peak daily demand for electrical power follows a normal distribution, with a mean of 4.3 GW and a standard deviation of .8 GW. (Note: A gigawatt is 1 billion watts of electricity, approximately the output of a nuclear fission reactor.) For a randomly selected January day: a. There is a 30% probability that peak demand for electrical...
1. Assume that the daily profits X of a certain company has a normal distribution with unknown me...
Advanced Statistics.
1. Assume that the daily profits X of a certain company has a normal distribution with unknown mean μ and standard deviation σ 8 and that we wish to test the Ho 10 against Hi:H< 10 (a) Suppose the the profits over a random sample of n 64 days will be observed Analyst A will reject Ho if the mean daily profits satisfies T <9; hypotheses by two analysts Analyst B will reject Ho if the mean daily...
can u please answer these questions as soon as possible? Given that z is a standard normal random variable, find z f...
can u please answer these questions as soon as possible?
Given that z is a standard normal random variable, find z for each situation (to 2 decimals). a. The area to the right of z is 0.03. b. The area to the right of z is 0.045 1.70 C. The area to the right of z is 0.05. 1.64 d. The area to the right of z is 0.1 Television viewing reached a new high when the global information and...
1. Suppose that random variables X and Y are independent and have the following properties: E(X)...
1. Suppose that random variables X and Y are independent and have the following properties: E(X) = 5, Var(X) = 2, E(Y ) = −2, E(Y 2) = 7. Compute the following. (a) E(X + Y ). (b) Var(2X − 3Y ) (c) E(X2 + 5) (d) The standard deviation of Y . 2. Consider the following data set: �x = {90, 88, 93, 87, 85, 95, 92} (a) Compute x¯. (b) Compute the standard deviation of this set. 3....
Assume a normal distribution and use a hypothesis test to test the given claim According to...
Assume a normal distribution and use a hypothesis test to test the given claim According to city reports, it was found that the mean age of the prison population in the city was 26 years. He obtains a random samplo of 25 prisoners and finds a mean age of 24.4 years and a standard 20. years. Marc wants to test the claim that the mean age of the prison population in his city is less than 26 deviation of 9.2...
1. Refer to the table which summarizes the results of testing for a certain disease. Positive...
1. Refer to the table which summarizes the results of testing for a certain disease. Positive Test Result Negative Test Result Subject has the disease 153 28 Subject does not have the disease 42 279 a. (10 points) If one of the results is randomly selected, what is the probability that it is a false negative (test indicates the person does not have the disease when in fact they do)? Show how you get your answer. Answer as a percent...
State whether the following statement is True or False. The area under the standard normal distribution...
State whether the following statement is True or False. The area under the standard normal distribution curve from negative infinity to infinity is 1. Use the normalcdf feature on the calculator to find the specified area under standard normal distribution curve. Round your answers to four de the nearest ten-thousandth). To the right of z = 1.13 Question 3 (6 points) On the daily run of an express bus, the average number of passengers is 48. The standard deviation is...
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
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...
In a certain city, the daily consumption of electric power in millions of kilowatt-hours, is a random variable X having a gamma distribution with mean p = 15 and variance of = 75. (a) Find the values of a and B. (b) Find the probability that on any given day the daily power consumption will exceed 15 million kilowatt-hours. (a) a= 3 B = 5 (b) The probability is (Round to four decimal places as needed.)
Advanced Statistics.
1. Assume that the daily profits X of a certain company has a normal distribution with unknown mean μ and standard deviation σ 8 and that we wish to test the Ho 10 against Hi:H< 10 (a) Suppose the the profits over a random sample of n 64 days will be observed Analyst A will reject Ho if the mean daily profits satisfies T <9; hypotheses by two analysts Analyst B will reject Ho if the mean daily...
can u please answer these questions as soon as possible?
Given that z is a standard normal random variable, find z for each situation (to 2 decimals). a. The area to the right of z is 0.03. b. The area to the right of z is 0.045 1.70 C. The area to the right of z is 0.05. 1.64 d. The area to the right of z is 0.1 Television viewing reached a new high when the global information and...
Assume a normal distribution and use a hypothesis test to test the given claim According to city reports, it was found that the mean age of the prison population in the city was 26 years. He obtains a random samplo of 25 prisoners and finds a mean age of 24.4 years and a standard 20. years. Marc wants to test the claim that the mean age of the prison population in his city is less than 26 deviation of 9.2...
1. Refer to the table which summarizes the results of testing for a certain disease. Positive Test Result Negative Test Result Subject has the disease 153 28 Subject does not have the disease 42 279 a. (10 points) If one of the results is randomly selected, what is the probability that it is a false negative (test indicates the person does not have the disease when in fact they do)? Show how you get your answer. Answer as a percent...
State whether the following statement is True or False. The area under the standard normal distribution curve from negative infinity to infinity is 1. Use the normalcdf feature on the calculator to find the specified area under standard normal distribution curve. Round your answers to four de the nearest ten-thousandth). To the right of z = 1.13 Question 3 (6 points) On the daily run of an express bus, the average number of passengers is 48. The standard deviation is...
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