Question

In: Statistics and Probability

A gasoline tank for a Honda Accord is engineered to hold 15 gallons of gas.  Gas tank...

A gasoline tank for a Honda Accord is engineered to hold 15 gallons of gas.  Gas tank capacity for a randomly selected Accord has an approximately normal distribution with mean 15.0 gallons and standard deviation of 0.1 gallons.

(a) What is the probability that a randomly selected Accord has a gas tank capacity within one standard deviation of the mean?

(b) What is the probability that a randomly selected tank will hold at most 14.85 gallons? Sketch a graph of this situation and shade the appropriate region.

(c) What is the probability that in the next twelve cars randomly selected, exactly four of those tanks will hold at most 14.85 gallons? Use your results from part (b).

Upload

Solutions

Expert Solution

All you need here is to standardize the random variable. Please go through the solution. All of it has been done in a detailed manner


Related Solutions

My gas tank can hold 16 gallons of gasoline (C8H18). Each gallon of gasoline contains 2.661...
My gas tank can hold 16 gallons of gasoline (C8H18). Each gallon of gasoline contains 2.661 kg of C8H18. How many kg of CO2 will result when my car burns a full tank of gas? assume that 100% of gasoline is C8H18 How kg of oxygen will be consumed when one tank of gasoline is burned?
An underground gasoline tank can hold 1.00x10^3 gallons of gasoline at 52.0 degrees F. If the...
An underground gasoline tank can hold 1.00x10^3 gallons of gasoline at 52.0 degrees F. If the tank is being filled on a cool morning when the outdoor temperature (and the gasoline in the tanker truck) is 32.0 degrees F, how many gallons from the truck can be poured in the tank? (b) Generally speaking, coefficients of thermal expansion of metals are two magnitudes smaller than that of gasoline's. If you would like to maximize the time or distance between gas...
A gas station sells 1500 gallons of gasoline per hour if it charges $ 2.20 per...
A gas station sells 1500 gallons of gasoline per hour if it charges $ 2.20 per gallon but only 1300 gallons per hour if it charges $ 2.95 per gallon. Assuming a linear model (a) How many gallons would be sold per hour of the price is $ 2.25 per gallon? Answer: (b) What must the gasoline price be in order to sell 800 gallons per hour? Answer: $ (c) Compute the revenue taken at the four prices mentioned in...
Tambin Inc. produces a gasoline additive that, when added to the gas tank of the average...
Tambin Inc. produces a gasoline additive that, when added to the gas tank of the average automobile, is designed to increase gas mileage by 20%. The company’s controller suspects that the year-end dollar balances shown below in the inventory accounts may be incorrect. Units Costs   Work in process, December 31 (materials 100% complete;        conversion 60% complete) 32,000 $ 67,000   Finished goods, December 31 37,000 $ 120,500 There were no finished goods inventories at the beginning of the year. The company...
Suppose the annual demand function for the Honda Accord is QD = 430 – .01PA +...
Suppose the annual demand function for the Honda Accord is QD = 430 – .01PA + .01PC -10PG where PA and PC are the prices of Accords and Camrys and PG is the price of gas.  Assume that this year the price of an Accord and the price of a Camry are both $20,000 and the price of gas is $3 per gallon.  You are to use the point formula for calculating the following elasticities.  Suppose that the income elasticity of demand for...
Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in...
Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, over the past 12 weeks. Week Sales (1,000s of gallons) 1 17 2 21 3 19 4 23 5 18 6 16 7 21 8 19 9 23 10 21 11 16 12 23 (a) Using a weight of 1/2  for the most recent observation, 1/3 for the second most recent observation, and 1/6  for third most recent observation, compute a three-week weighted moving...
These data show the number of gallons of gasoline sold by a gasoline distributor in Bennington,...
These data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, over the past 12 weeks. Week Sales (1,000s of gallons) 1 17 2 21 3 19 4 23 5 18 6 16 7 20 8 18 9 22 10 20 11 15 12 22 (a) Compute four-week and five-week moving averages for the time series. Week Time Series Value 4-Week Moving Average Forecast 5-Week Moving Average Forecast 1 17 2 21 3 19...
Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in...
Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, over the past 12 weeks. Week Sales (1,000s of gallons) 1 17 2 22 3 20 4 24 5 19 6 17 7 21 8 18 9 23 10 21 11 16 12 22 (a) Compute four-week and five-week moving averages for the time series. Week Time Series Value 4-Week Moving Average Forecast 5-Week Moving Average Forecast 1 17 2 22 3...
A large tank with total capacity of 400 gallons is filled with 300 gallons of fluid...
A large tank with total capacity of 400 gallons is filled with 300 gallons of fluid in which 50 lbs. of salt is dissolved. Brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 3 gal/min. The well mixed solution is pumped out at a slower rate of 2 gal/min. a. Find the number A(t) of pounds of salt in the tank at time t. b. When will the tank overflow?
You purchase a fully loaded Honda Accord with an MSRP of $32,000 for $27,000. You pay...
You purchase a fully loaded Honda Accord with an MSRP of $32,000 for $27,000. You pay the 3% tax of $810 up front and put down $5,000. The dealer offers a simple interest installment loan with an annual rate of 5% for 3 years. The projected resale value of the car after 2 years is $17,000. Compute the loan value and monthly loan payments. Create a monthly amortization schedule over the entire loan period. Compute total interest over the entire...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT