Question

A train leaves the depot empty. At each station, on average, 40 people mount whiles 20% of the riders dismount. What is the expected number of people on the train after the nth stop?

Answer #1

A freight train leaves the train station 4 hours before a
passenger train. The two trains are traveling in the same direction
on parallel tracks. If the rate of the passenger train is 40 mph
faster than the freight? train, how fast is each train traveling if
the passenger train passes the freight train in 4 ?hours?
How fast is the freight train? traveling? nothing mph
?(Type an integer or a? decimal.) How fast is the passenger
train? traveling? nothing...

A commuter train leaves the Metro transit station at precisely
10:00 AM. You intend to board the same train at the next stop in
Whistleville, located 14 miles away from the Metro transit station.
The average speed of the commuter train is 35 mph. It takes you
five minutes to walk from your apartment to the platform in
Whistleville. What time should you leave the apartment in order to
arrive at the platform at the same time as the train?...

A physics student sits by the open window on a train
moving at 20 m/sec towards the east. Her boyfriend is standing on
the station platform, sadly watching her leave. When the train is
138 meters form the station, it emits a whistle at a frequency of 2
× 103 Hz.
1)
What frequency does the boyfriend hear ?
f =
2)
What frequency does the physics student
hear?
f =
3)
A chemistry student (with nothing better to do...

A train starts from rest and travels 40 km in 0.5 hours. a) What
distance will be covered after 20 minutes? b) Assuming a uniform
change in velocity, determine the acceleration (a). c) If the first
stop is 25 km from the point of origin, how long will it take to
reach this first destination?

A person is standing at a train station, and two identical
trains are passing each other 100 m down the tracks. Train A is
moving away from him at 20 m/s, and train B is moving toward him at
20 m/s. As the trains pass each other, they emit identical pulses
of sound from their horns. At the instant that the pulses are
sounded, the trains' horns are both precisely 100 m away from him.
What will the person hear?...

(a) In an insurance company the average number of sick leaves
for an employee is 0.5 per month. The numbers of sick leaves in
different months are independent. Under appropriate assumptions
about the distribution, find the probability that the number of
sick leaves for an employee is at least four days in a year. Write
down and justify your assumptions.
(b) An insurance company has three different types of employees,
with 100 people of each type. Find the probability that...

Suppose there is a country in which 40% of people are below age
20, 40% are between ages 20 and 40, and 20% are between ages 40 and
60. Assume no one lives above age 60 and the fertility rate is 4.
The initial population size is 100.
(a)Compute the proportion of young, adult, and old after 20, 40,
60, 80, and 100 years.
(b)Calculate the population growth rate over each period of 20
years.
(c)Assume a country with the...

A small company just opened a new massage station at
Philadelphia airport. The company has a stand that offers massages
to travelers.Customers can select a length of massage between 5 and
20 minutes and there is a unique rate of $30 independently of the
length selected by customers. The average length of massage
requested by customers is of 15 minutes with standard deviation of
10 minutes. There are five employees delivering massages. The
average number of potential customers requesting a...

7. There is a bus which has 40 seats go to
school from departure station every Monday morning about 8:00 am.
The average number of passengers that ride this bus at the same
time is 35.
(a). What probability distribution is most
appropriate for calculating the probability of a given number of
passengers that ride this bus at this time?
(b). What is the probability that there is
exactly no seat on the bus?
(c). What is the probability that...

A service station has a pump that distributes diesel fuel to
trucks. The station owner estimates that on average every two
hours, 3 trucks stop to get diesel fuel. Assume that the arrival of
diesel fuel users are Poisson distributed.
a) What is the expected average number of trucks over a one-hour
period? Give the answer correct to two digits after the decimal
point
Enter all probabilities as a percent, correct to two digits
after the decimal point, without the...

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