   # Transportation Repeat Exercise 55 for a train that arrives between 7:00 a.m. and 7:15 a.m. Transportation The arrival time t (in minutes) of a train at a train station is uniformly distributed between 7:00 a.m. and 7:20 a.m. (a) Find the probability density function for the random variable t. (b) Find the mean and standard deviation of the arrival time. (c) What is the probability that you will miss the train if you arrive at the train station at 7:04 a.m.? ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
Publisher: Cengage Learning
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
Publisher: Cengage Learning
ISBN: 9781305860919
Chapter 9, Problem 56RE
Textbook Problem
1 views

## Transportation Repeat Exercise 55 for a train that arrives between 7:00 a.m. and 7:15 a.m. Transportation The arrival time t (in minutes) of a train at a train station is uniformly distributed between 7:00 a.m. and 7:20 a.m. (a) Find the probability density function for the random variable t.(b) Find the mean and standard deviation of the arrival time.(c) What is the probability that you will miss the train if you arrive at the train station at 7:04 a.m.?

(a)

To determine

To calculate: The probability density function for the random variable t which is the arrival time (in minutes) of a train at a station which is uniformly distributed between 7:00 A.M. and 7:15 A.M.

### Explanation of Solution

Given Information:

The arrival time of a train t (in minutes) is uniformly distributed between 7:00 A.M. and 7:15 A.M.

Formula used:

The probability density function of uniform probability distribution is defined as,

f(x)=1ba,axb

Calculation:

Consider the provided information,

The provided probability density function is uniformly distributed between 7:00 A.M. and 7:15 A.M.. So, the interval is defined as [0,15] with where t=0 corresponding to 7:00 A

(b)

To determine

To calculate: The mean and standard deviation of the arrival time t (in minutes) of a train at a station which is uniformly distributed between 7:00 A.M. and 7:15 A.M.

(c)

To determine

To calculate: The probability of missing the train if the arrival at the station is at 7:04 A.M. for the train with the arrival time t (in minutes) uniformly distributed between 7:00 A.M. and 7:15 A.M.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
Convert the expressions in Exercises 6584 to power form. 2x3x0.12+43x1.1

Finite Mathematics and Applied Calculus (MindTap Course List)

In Exercises 47-52, find and simplify f(a+h)f(a)h (h 0) for each function. 49. f(x) = x3 x

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Solve each equation and check: 8(x5)=13x

Elementary Technical Mathematics

For y = x3 ln x, y = a) x2(1 + 3 ln x) b) x3 + 3x2 (ln x) c) 3x d) 4x2(ln x)

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Zooming In: Get the standard view of y=xx475. Then zoom in once near the peak of the graph

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List) 