Question

One
gas truck can fill a gas station in 91 minutes and teo can fill it
in 42 minutes. find how long it takes the second gas truck alone to
fill the gas station.

Answer #1

The manager of a gas station has observed that the times
required by drivers to fill their car's tank and pay for the
gasoline are quite variable. In fact, the transaction times are
exponentially distributed with a mean of 6.5 minutes.
(Round all decimals to at least 3 places.)
(a) What is the probability that a car can complete the
transaction in less than 4 minutes?
(b) The manager notices that a certain car at the gas station
has already...

The number of cars arriving at a gas station can be modelled by
Poisson distribution with the average rate of 5 cars per 10
minutes. a. The probability that one car will arrive to a gas
station in a 5 -minute interval is _________ b. The probability
that at least one car will arrive to the gas station in a 10 -
minute interval is ______

In a gas station there is one gas pump. Cars arrive at the gas
station according to a Poisson proces. The arrival rate is 20 cars
per hour. An arriving car ﬁnding n cars at the station immediately
leaves with probability qn = n/4, and joins the queue with
probability 1−qn, n = 0,1,2,3,4. Cars are served in order of
arrival. The service time (i.e. the time needed for pumping and
paying) is exponential. The mean service time is 3...

Kelly is having a party and wants to fill her hot tub. If she
uses the red hose alone it takes 12 hours longer (more) than if she
uses the green hose alone. When she uses both hoses, the hot tub
fills in 8 hours. How long does it take for one hose to fill the
hot tub? It takes ? hours using the red hose alone. It takes ?
hours using the green hose alone.

A gas station with two pumps does not allow drivers to pump
their gas and has a service attendant for each pump. Potential
customers (i.e. cars) arrive according to KinKo, a process at a
rate of 40 cars per hour. If the two pumps are busy, then arriving
cars wait in a single queue to be served in the order of arrival by
the first available pump. However, cars cannot enter the station to
wait if there are already two...

John runs an automatic car wash at his gas station. John found
that it takes on average 3 minutes with a standard deviation 2.5
minutes to wash a car. He observed the car wash time of 45 randomly
selected cars.
a. Find the probability that the average wash time of these 45
selected cars is greater than 3.5 minutes.
b. Find the probability that the average wash time of these 45
selected cars is between 3.7 and 4.2 minutes.

A new gas station has only one pump for gasoline. Cars take on
an average 5 minutes to fuel up. The gas station manager calculated
that the pump has an average of 8 cars visiting it every hour. On
an average, how many cars will be waiting in the queue for
refueling? (3 decimals)
The answer is suppose to be 1.333.
I need help figuring out how my professor got this answer.
Please only reply if you know a step-by-step...

Three postal workers can sort a stack of mail in 40 minutes, 30
minutes, and 120 minutes, respectively. Find how long it takes
them to sort the mail if all three work together.
The time it takes for all three to complete the job is _________
minutes.

Trucks are required to pass through a weighing station so that
they can be checked for weight violations. Trucks arrive at the
station at the rate of 35 an hour between 7:00 p.m. and 9:00 p.m.
Currently two inspectors are on duty during those hours, each of
whom can inspect 25 trucks an hour.
a. How many trucks would you expect to see at
the weighing station, including those being inspected?
b.If a truck was just arriving at the station,...

Eat & Gas convenience store operates a two-pump gas station.
The lane leading to the pumps can house at most 3 cars, excluding
those being served. Arriving cars go elsewhere if the lane is full.
The distribution of arriving cars is Poisson with mean 20 per hour.
The time to fill up and pay for the purchase is exponential with
mean 6 minutes. What is the percentage of cars that will seek
business elsewhere? What is the percentage of time...

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