Suppose the mean delay at a station for a subway train is 7 minutes, with a...

Suppose the mean delay at a station for a subway train is 7 minutes, with a standard deviation of 1 minutes. A subway improvement lobbyist measures the delay of 64 randomly selected trains, and computes the mean delay. What distribution, including parameters, does this sample mean come from and why?

Written work: Answer the question.

In the box below: Enter the second parameter (in the usual order) of the distribution.

Expert Solution

orchestra answered 2 years ago

A subway train starts from rest at a station and accelerates at a rate of 2.00...

A subway train starts from rest at a station and accelerates at a rate of 2.00 m/s2 for 14.0 s. It runs at constant speed for 66.0 s and slows down at a rate of 4.00 m/s2 until it stops at the next station. Find the total distance covered.

1. A subway train starts from rest at a station and accelerates at a rate of...

1. A subway train starts from rest at a station and accelerates at a rate of 2.50 m/s ^ 2 for 15.90 seconds. It then runs at a constant speed for 35 seconds and then slows down at a rate of 4.50 m/s ^ 2 until it stops at the next station . (a) What is the speed of the train just before it starts slowing down ? (Ans .: v=39.75 m/s) (b) How long did it take the train...

Please Show Work An express subway train passes through an underground station. It enters with an...

Please Show Work An express subway train passes through an underground station. It enters with an initial velocity of 22.0 m/s and decelerates at a rate of 0.150 m/s^2 as it goes through. The station in 210 m long. a. How long is the nose of the train in the station? b. How fast is it going when the nose leaves the station? c. If the train is 130 m long, when does the end of the train leave the...

A subway train on the Red Line arrives every 8 minutes during rush hour. We are...

A subway train on the Red Line arrives every 8 minutes during rush hour. We are interested in the length of time a commuter must wait for a train to arrive. The time follows a uniform distribution. A. Enter an exact number as an integer, fraction, or decimal. μ = B. σ = Round your answer to two decimal places. C. Find the probability that the commuter waits less than one minute. D. Find the probability that the commuter waits between...

You arrive at the train station between 7:20 am and 7:30 am, uniformly. The train arrives...

You arrive at the train station between 7:20 am and 7:30 am, uniformly. The train arrives every 8 minutes starting from 7:00 am. Let Y be the waiting time. Please compute the pdf of Y.

Suppose that it is known that the number of minutes that the daily 1 pm train...

Suppose that it is known that the number of minutes that the daily 1 pm train from NJ Station arrives late to destination Linden is a random variable X with density function f(x) = {c/15^2(15^2-x^2), -15<x<15; 0, elsewhere. (a) Determine the value of c so that f(x) is a valid probability density function. (b) Explain why c must be a particular value. That is, explain why probability density functions must have the specific property that you used to solve part...

Suppose the average length of a TTC delay is 30 minutes with a standard deviation of...

Suppose the average length of a TTC delay is 30 minutes with a standard deviation of 5.5 minutes. A local business estimates that the cost to their business associated with these delays 150H^2 −8.50, where H is the duration of a TTC delay in hours. How much will a TTC delay cost, at least 70% of the time? Show all your work and include any annotations you think would be helpful in explaining your process. You may find it helpful...

Suppose that we are at time zero. Passengers arrive at a train station according to a...

Suppose that we are at time zero. Passengers arrive at a train station according to a Poisson process with intensity λ. Compute the expected value of the total waiting time of all passengers who have come to the station in order to catch a train that leaves at time t. The answer is λt^2/2

A 130 m long train was coming into a station. The train decelerated at a rate...

A 130 m long train was coming into a station. The train decelerated at a rate of 0.150 m/s2 as it entered the station. The station was 210 m long. a) The driver managed to stop the train when the tail of the train reached the end of the station. What was the entering velocity of the train into the station? [2.5 marks] b) If the driver wanted to stop the train at the middle of the station, what should...

Suppose passengers arrive at the MTA train station following a Poisson distribution with parameter 9 and...

Suppose passengers arrive at the MTA train station following a Poisson distribution with parameter 9 and the unit of time 1 hour. Next train will arrive either 1 hour from now or 2 hours from now, with a 50/50 probability. i. E(train arrival time) ii. E(number of people who will board the train) iii. var(number of people who will board the train)

Question