17. At a certain gas station 40% of the customers request regular gas, 35% request unleaded...

17. At a certain gas station 40% of the customers request regular gas, 35% request unleaded gas, and 25% request premium gas. Of those customers requesting regular gas, only 30% fill their tanks all the way up, while the remaining 70% only fill up part of their tank. Of those customers requesting unleaded gas, 60% fill their tanks all the way up, while of those requesting premium, 50% fill their tanks all the way up. If the next customer does not fill the tank all the way up (only fills it up part of the way), what is the probability that they requested regular gas?

	a.	0.120
	b.	0.280
	c.	0.514
	d.	0.545
	e.	0.264

Expert Solution

P(regular gas / does not fill way up) = P(regular gas and does not fill way up) / P(does not fill way up)

P(regular gas and does not fill way up) = 0.40 * 0.70 = 0.28

P(does not fill way up) = 0.40 * 0.70 + 0.35 * 0.40 + 0.25 * 0.50 = 0.545

P(regular gas / does not fill way up) = 0.28 / 0.545 = 0.514

ANS : Option C : 0.514

orchestra answered 2 years ago

The Petroco Service Station has one pump for regular unleaded gas, which (with an attendant) can...

The Petroco Service Station has one pump for regular unleaded gas, which (with an attendant) can service 10 customers per hour. Cars arrive at the regular unleaded pump at a rate of 6 per hour. Determine the average queue length, the average time a car is in the system, and the average time a car must wait. If the arrival rate increases to 12 cars per hour, what will be the effect on the average queue length. Please put in...

) The most recent 30 days of the price per gallon of regular unleaded gas is...

) The most recent 30 days of the price per gallon of regular unleaded gas is in the file. Using R code Please answer the following questions. a. Compute a forecast for the next day’s prices using a 3-day Moving Average model. What is the forecast? What is the MSE for the last five observations? b. Can you reduce the MSE for the last five observations by changing the movingaverage window? (Hint: Try 4-10 day windows) c. Compute a forecast...

Suppose that the daily demand for regular gasoline at a gas station is normally distributed with...

Suppose that the daily demand for regular gasoline at a gas station is normally distributed with a mean of 1,000 gallons and a standard deviation of 100 gallons. The next delivery of gasoline is scheduled later today at the close of business. What is the minimum amount of regular gasoline that the station must have in storage so that there is a 90% chance it will have enough to satisfy today’s demand? Select one: a. 836 b. 872 c. 1,128...

It is estimated that amounts of money spent on gasoline by customers at a gas station...

It is estimated that amounts of money spent on gasoline by customers at a gas station in Bristol, Englands, follow a normal distribution with a standard deviation of £3,4. It is also found that 5% of all the customers spent more than £30. What percentage of customers spent less than £25? (explain with steps)

Air enters the compressor of an ideal gas refrigeration cycle at 17°C and 35 kPa and...

Air enters the compressor of an ideal gas refrigeration cycle at 17°C and 35 kPa and the turbine at 47°C and 160 kPa. The mass flow rate of air through the cycle is 0.3 kg/s. Assume variable specific heats for air. Determine the net power input. The net power input is kW.

A one-pump gas station is always open and has two types of customers. A police car...

A one-pump gas station is always open and has two types of customers. A police car arrives every 30 minutes (exactly), with the first police car arriving at time 15 minutes. Regular (nonpolice) cars have exponential interarrival times with mean 5.6 minutes, with the first regular car arriving at time 0. Service times at the pump for all cars are exponential with mean 4.8 minutes. A car arriving to find the pump idle goes right into service, and regular cars...

In 2017 at a mechanic’s shop 35% of customers needed wheel or brake repairs, 40% needed...

In 2017 at a mechanic’s shop 35% of customers needed wheel or brake repairs, 40% needed engine repairs, 10% needed bodywork repairs, 10% needed electrical repairs, and 5% needed interior repairs. The mechanic wants to know if those proportions are still accurate in 2020. He randomly selects 90 repairs performed so far in 2020 and finds the following data. Type of repair Wheel/Brake Engine Bodywork Electical Interior Count 23 47 7 11 2 Have the proportions of repairs changed from...

The ammonia gas (mw = 17 kg/kgmol) at 40 oC and 3 atm was transported at...

The ammonia gas (mw = 17 kg/kgmol) at 40 oC and 3 atm was transported at flowrate of 5 kg/h by an insulated pipeline having the total thickness of 2.0×10-3 m. The pressure and temperature of the ammonia gas suddenly drop to ambient temperature and pressure of 25 oC and 1 atm. A thorough investigation showed that the ammonia gas leaked to surrounding atmosphere through a pipeline wall cracking hole having an equivalent diameter of 3 mm. a) State all...

A petroleum gas mixture containing 65% propane (C3H8) and 35% propylene (C3H6) is burned with 40%...

A petroleum gas mixture containing 65% propane (C3H8) and 35% propylene (C3H6) is burned with 40% excess air. The flow rate of the gas mixture is 200 mol/h. All of the propylene and 90% of the propane are consumed. No CO is found in the product. Write the chemical reactions. How much air is added to the reactor (molar flow rate)? What is the molar flow rate of the outlet gas?

Question