A shower head pumps water into a process at the rate of 5 gallons per minute....

A shower head pumps water into a process at the rate of 5 gallons per minute. Upon inspection, it is learned that the shower head pumps at a rate described by the uniform distribution over the interval 4 to 6 gallons per minutes.

a. Find the variance of the distribution. variance= 0.333 ?

b. Find the mean of the distribution. mean= 5

c. What proportion of the time does the machine pump more than 6.5 gallons per minute?

d. Would you expect the machine to pump more than 5.48 gallons per minute? Explain your answer.

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

A machine pumps cleanser into a process at a rate of 7 gallons per minute.

A machine pumps cleanser into a process at a rate of 7 gallons per minute. Upon inspection, it is learned that the machine pumps cleanser at a rate described by the uniform distribution over the interval 6.5 to 7.5 gallons per minute. a. What is the mean of this distribution? The standard deviation? Answer: mean = 7, standard deviation = 0.29 b. Find the probability that the machine pumps less than 7 gallons during a randomly selected minute. Answer: 0.5

Water flows through a shower head steadily at a rate of 8 kg/min. The water is...

Water flows through a shower head steadily at a rate of 8 kg/min. The water is heated in an electric water heater from 158C to 458C. In an attempt to conserve energy, it is proposed to pass the drained warm water at a temperature of 388C through a heat exchanger to preheat the incoming cold water. Design a heat exchanger that is suitable for this task, and discuss the potential savings in energy and money for your area.

A person takes 15 minute showers in 100°F water using a 2.0 gallon per minute shower...

A person takes 15 minute showers in 100°F water using a 2.0 gallon per minute shower head. Ignoring losses, how many cubic feet of natural gas did the shower need if the house has a 40,000 BTU/hour water heater? The incoming water temperature is 50°F. Is it possible for this person to complete this shower without the water temperature dropping?

Water at 200 Fahrenheit is pumped from a storage tank at the rate of 50 gallons/minute....

Water at 200 Fahrenheit is pumped from a storage tank at the rate of 50 gallons/minute. The motor for the pump supplies work at the rate of 2 hp. The water goes through a heat exchanger, giving up heat at the rate of 40,000 BTU/minute(Q Net In), and is delivered to a second storage tank at an elevation 50 feet above the first tank. What is the temperature of the water delivered to the second tank?

Measure heart rate in beats per minute, respiration rate in breaths per minute and blood pressure...

Measure heart rate in beats per minute, respiration rate in breaths per minute and blood pressure as systolic/diastolic (these measurements should look like 120/70). Your pulse rate should be measured for at least 15 seconds and your respiration rate should be measured for at least 30 seconds. Try taking your blood pressure as quickly as you can. Perform the following experiments and enter your data on the Report Page. 1. While you are resting, either or sitting or lying down,...

On a highway, vehicles pass according to a Poisson process with rate 1 vehicle per minute....

On a highway, vehicles pass according to a Poisson process with rate 1 vehicle per minute. Suppose that 25% of the vehicles are trucks and 75% of the vehicles are cars. Let NC(t) and NT(t) denote the number of cars and trucks that pass in t minutes, respectively. Then N(t) = NC(t) + NT(t) is the number of vehicles that pass in t minutes. Find E[N(10) | NT(10)=2] Find P[NC(10)=14 | N(10)=15]

The annual per capita consumption of bottled water was 31.3 gallons.

The annual per capita consumption of bottled water was 31.3 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 31.3 and a standard deviation of 11 gallons. a. What is the probability that someone consumed more than 36 gallons of bottled water? b. What is the probability that someone consumed between 30 and 40 gallons of bottled water? c. What is the probability that someone consumed less than 30 gallons of bottled water? d. 99%...

The annual per capita consumption of bottled water was 32.6 gallons. Assume that the per capita...

The annual per capita consumption of bottled water was 32.6 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 32.6 and a standard deviation of 10 gallons. a. What is the probability that someone consumed more than 43 gallons of bottled water? b. What is the probability that someone consumed between 30 and 40 gallons of bottled water? c. What is the probability that someone consumed less than 30 gallons of bottled water? d. 90%...

The annual per capita consumption of bottled water was 32.8 gallons. Assume that the per capita...

The annual per capita consumption of bottled water was 32.8 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 32.8 and a standard deviation of 10 gallons. a. What is the probability that someone consumed more than 43 gallons of bottled water? b. What is the probability that someone consumed between 30 and 40 gallons of bottled water? c. What is the probability that someone consumed less than 30 gallons of...

The annual per capita consumption of bottled water was 30.5 gallons. Assume that the per capita...

The annual per capita consumption of bottled water was 30.5 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 30.5 and a standard deviation of 10 gallons. a. What is the probability that someone consumed more than 31 gallons of bottled water? b. What is the probability that someone consumed between 20 and 30 gallons of bottled water? c. What is the probability that someone consumed less than 20 gallons of...

Subjects