Ques 1: Water use in the summer is normally distributed with a mean of 300 million...
Ques 1:
Water use in the summer is normally distributed with a mean of 300 million gallons per day and a standard deviation of 50 million gallons per day. City reservoirs have a combined storage capacity of 350 million gallons. If, P(X>x)=0.87 => P(Z<b) = a, what is the value of a? Here b would be standardized value from x. Please report your answer in 2 decimal places.
Question 2:
Water use in the summer is normally distributed with a mean of 300 million gallons per day and a standard deviation of 41.0 million gallons per day. City reservoirs have a combined storage capacity of 350 million gallons. What amount of water use is exceeded with 99% probability? Please report your answer in 2 decimal places.
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Ques 1:
Water use in the summer is normally distributed with a mean of
300 million...
Water use in the summer is normally distributed with a mean of 300 million gallons per...
Water use in the summer is normally distributed with a mean of 300 million gallons per day and a standard deviation of 50 million gallons per day. City reservoirs have a combined storage capacity of 350 million gallons. If, P(X>x)=0.87 => P(Z<b) = a, what is the value of a? Here b would be standardized value from x. Please report your answer in 2 decimal places.
Water use in the summer is normally distributed with a mean of 300 million gallons per...
Water use in the summer is normally distributed with a mean of 300 million gallons per day and a standard deviation of 50 million gallons per day. City reservoirs have a combined storage capacity of 350 million gallons. If, P(X>x)=0.93 => P(Z<b) = a, what is the value of a? Here b would be standardized value from x.
The mayor of the city of Detroit was informed that household water usage was a normally...
The mayor of the city of Detroit was informed that household water usage was a normally distributed random variable with a mean of 25 gallons and a standard deviation of 4 gallons per day. a) Find the probability that a randomly chosen household uses fewer than 21 gallons per day. b) The mayor advertised on a local TV channel for about three weeks his intention to give a tax rebate to the 20% lowest water users. If the advertisement lowered...
The daily water consumption for an Ohio community is normally distributed with a mean consumption of...
The daily water consumption for an Ohio community is normally distributed with a mean consumption of 519,645 gallons and a standard deviation of 71,564 gallons. The community water system will experience a noticeable drop in water pressure when the daily water consumption exceeds 782,238 gallons. What is the probability of experiencing such a drop in water pressure?
1. The grade of a Math Quiz is normally distributed with its mean, 81 and standard...
1. The grade of a Math Quiz is normally distributed with its mean, 81 and standard deviation, 8.4. If a student is randomly selected in class, what is the probability that his or her score will be higher than 90? 2. The historical data of a company's annual sales is normally distributed with its mean, $330 million and its standard deviation, $45 million. Find the probability that the company's sales will be between $300 million and $ 400 next year?
- You may assume that the per capita consumption of bottled water is approx. normally distributed...
- You may assume that the per capita consumption of bottled water is approx. normally distributed with a mean of 32.1 and a standard deviation of 11 gallons. Answer the following: a. What is the probability that someone consumes exactly 15 gallons of water? b. What is the probability that someone consumed between 30 and 40 gallons of water? c. 99.5% of people consumed less than how many gallons of water?
1. A gas station opens at a time which is Normally distributed with the mean of...
1. A gas station opens at a time which is Normally distributed with the mean of 8:45 am and standard deviation of 10 minutes; similarly, its closing time is Normally distributed with the mean value at 5:12 pm and standard deviation of 15 minutes. If customers arrive as a Poisson Process with an average rate of 11.3 per hour, find the mean number of customers to be served in one such day, and the corresponding standard deviation. What is the...
7. The monthly utility bills in a city are normally distributed with a mean of $100...
7. The monthly utility bills in a city are normally distributed with a mean of $100 and a standard deviation of $12. If 300 utility bills are randomly selected, about how many would you expect to be more than $90?
Burn rates for each of these fuel cells are approximately normally distributed with mean 12 and...
Burn rates for each of these fuel cells are approximately normally distributed with mean 12 and standard deviation 2.3 gallons per second. What fraction of all fuel cells have burn rates in the following intervals? a) 9.7 to 14.3 gallons per second: b) 7.4 to 16.6 gallons per second: c) Less than 5.1 or more than 18.9 gallons per second:
Consider a sample of 22 households that used an average of 346.2 gallons of water per...
Consider a sample of 22 households that used an average of 346.2 gallons of water per day, with a standard deviation of 50.5 gallons. Assume the population of household water usage is normally distributed. Construct an 80% confidence interval for the mean.
1. The grade of a Math Quiz is normally distributed with its mean, 81 and standard deviation, 8.4. If a student is randomly selected in class, what is the probability that his or her score will be higher than 90? 2. The historical data of a company's annual sales is normally distributed with its mean, $330 million and its standard deviation, $45 million. Find the probability that the company's sales will be between $300 million and $ 400 next year?
1. A gas station opens at a time which is Normally distributed with the mean of 8:45 am and standard deviation of 10 minutes; similarly, its closing time is Normally distributed with the mean value at 5:12 pm and standard deviation of 15 minutes. If customers arrive as a Poisson Process with an average rate of 11.3 per hour, find the mean number of customers to be served in one such day, and the corresponding standard deviation. What is the...
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