Delta Airlines quotes a flight time of 3 hours, 6 minutes for a particular flight. Suppose we believe that actual flight times are uniformly distributed between 3 hours and 3 hours, 48 minutes. (a) Show the graph of the probability density function for flight time. The graph has a shaded area. The horizontal axis is labeled: x with the title: Flight Time in Minutes and has tickmarks labeled: 168, 180, 192, 204, 216, 228. The vertical axis is labeled: f(x), and has tickmarks labeled: 1/48, 1/24, 1/16. The shaded area is the region bounded by the horizontal axis and the following line segments. A 1/48 unit long vertical line segment begins at 168 on the horizontal axis. A 1/48 unit long vertical line segment begins at 228 on the horizontal axis. A 60 unit long horizontal line segment begins at the tickmark labeled 168 on the horizontal axis and the tickmark labeled 1/48 on the vertical axis. This line segment connects the two vertical line segments. The graph has a shaded area. The horizontal axis is labeled: x with the title: Flight Time in Minutes and has tickmarks labeled: 168, 180, 192, 204, 216, 228. The vertical axis is labeled: f(x), and has tickmarks labeled: 1/48, 1/24, 1/16. The shaded area is the region bounded by the horizontal axis and the following line segments. A 1/48 unit long vertical line segment begins at 180 on the horizontal axis. A 1/48 unit long vertical line segment begins at 228 on the horizontal axis. A 48 unit long horizontal line segment begins at the tickmark labeled 180 on the horizontal axis and the tickmark labeled 1/48 on the vertical axis. This line segment connects the two vertical line segments. The graph has a shaded area. The horizontal axis is labeled: x with the title: Flight Time in Minutes and has tickmarks labeled: 168, 180, 192, 204, 216, 228. The vertical axis is labeled: f(x), and has tickmarks labeled: 1/48, 1/24, 1/16. The shaded area is the region bounded by the horizontal axis and the following line segments. A 1/48 unit long vertical line segment begins at 168 on the horizontal axis. A 1/48 unit long vertical line segment begins at 216 on the horizontal axis. A 48 unit long horizontal line segment begins at the tickmark labeled 168 on the horizontal axis and the tickmark labeled 1/48 on the vertical axis. This line segment connects the two vertical line segments. The graph has a shaded area. The horizontal axis is labeled: x with the title: Flight Time in Minutes and has tickmarks labeled: 168, 180, 192, 204, 216, 228. The vertical axis is labeled: f(x), and has tickmarks labeled: 1/48, 1/24, 1/16. The shaded area is the region bounded by the horizontal axis and the following line segments. A 1/48 unit long vertical line segment begins at 180 on the horizontal axis. A 1/48 unit long vertical line segment begins at 216 on the horizontal axis. A 36 unit long horizontal line segment begins at the tickmark labeled 180 on the horizontal axis and the tickmark labeled 1/48 on the vertical axis. This line segment connects the two vertical line segments. (b) What is the probability that the flight will be no more than 6 minutes late? (c) What is the probability that the flight will be more than 12 minutes late? (d) What is the expected flight time, in minutes? min

Delta Airlines quotes a flight time of 3 hours, 6 minutes for a particular flight. Suppose we believe that actual flight times are uniformly distributed between 3 hours and 3 hours, 48 minutes. (a) Show the graph of the probability density function for flight time. The graph has a shaded area. The horizontal axis is labeled: x with the title: Flight Time in Minutes and has tickmarks labeled: 168, 180, 192, 204, 216, 228. The vertical axis is labeled: f(x), and has tickmarks labeled: 1/48, 1/24, 1/16. The shaded area is the region bounded by the horizontal axis and the following line segments. A 1/48 unit long vertical line segment begins at 168 on the horizontal axis. A 1/48 unit long vertical line segment begins at 228 on the horizontal axis. A 60 unit long horizontal line segment begins at the tickmark labeled 168 on the horizontal axis and the tickmark labeled 1/48 on the vertical axis. This line segment connects the two vertical line segments. The graph has a shaded area. The horizontal axis is labeled: x with the title: Flight Time in Minutes and has tickmarks labeled: 168, 180, 192, 204, 216, 228. The vertical axis is labeled: f(x), and has tickmarks labeled: 1/48, 1/24, 1/16. The shaded area is the region bounded by the horizontal axis and the following line segments. A 1/48 unit long vertical line segment begins at 180 on the horizontal axis. A 1/48 unit long vertical line segment begins at 228 on the horizontal axis. A 48 unit long horizontal line segment begins at the tickmark labeled 180 on the horizontal axis and the tickmark labeled 1/48 on the vertical axis. This line segment connects the two vertical line segments. The graph has a shaded area. The horizontal axis is labeled: x with the title: Flight Time in Minutes and has tickmarks labeled: 168, 180, 192, 204, 216, 228. The vertical axis is labeled: f(x), and has tickmarks labeled: 1/48, 1/24, 1/16. The shaded area is the region bounded by the horizontal axis and the following line segments. A 1/48 unit long vertical line segment begins at 168 on the horizontal axis. A 1/48 unit long vertical line segment begins at 216 on the horizontal axis. A 48 unit long horizontal line segment begins at the tickmark labeled 168 on the horizontal axis and the tickmark labeled 1/48 on the vertical axis. This line segment connects the two vertical line segments. The graph has a shaded area. The horizontal axis is labeled: x with the title: Flight Time in Minutes and has tickmarks labeled: 168, 180, 192, 204, 216, 228. The vertical axis is labeled: f(x), and has tickmarks labeled: 1/48, 1/24, 1/16. The shaded area is the region bounded by the horizontal axis and the following line segments. A 1/48 unit long vertical line segment begins at 180 on the horizontal axis. A 1/48 unit long vertical line segment begins at 216 on the horizontal axis. A 36 unit long horizontal line segment begins at the tickmark labeled 180 on the horizontal axis and the tickmark labeled 1/48 on the vertical axis. This line segment connects the two vertical line segments. (b) What is the probability that the flight will be no more than 6 minutes late? (c) What is the probability that the flight will be more than 12 minutes late? (d) What is the expected flight time, in minutes? min

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

Delta Airlines quotes a flight time of 3 hours, 6 minutes for a particular flight. Suppose we believe that actual flight times are uniformly distributed between 3 hours and 3 hours, 48 minutes.

(a)

Show the graph of the probability density function for flight time.

The graph has a shaded area. The horizontal axis is labeled: x with the title: Flight Time in Minutes and has tickmarks labeled: 168, 180, 192, 204, 216, 228. The vertical axis is labeled: f(x), and has tickmarks labeled: 1/48, 1/24, 1/16. The shaded area is the region bounded by the horizontal axis and the following line segments.

A 1/48 unit long vertical line segment begins at 168 on the horizontal axis.
A 1/48 unit long vertical line segment begins at 228 on the horizontal axis.
A 60 unit long horizontal line segment begins at the tickmark labeled 168 on the horizontal axis and the tickmark labeled 1/48 on the vertical axis. This line segment connects the two vertical line segments.

A 1/48 unit long vertical line segment begins at 180 on the horizontal axis.
A 1/48 unit long vertical line segment begins at 228 on the horizontal axis.
A 48 unit long horizontal line segment begins at the tickmark labeled 180 on the horizontal axis and the tickmark labeled 1/48 on the vertical axis. This line segment connects the two vertical line segments.

A 1/48 unit long vertical line segment begins at 168 on the horizontal axis.
A 1/48 unit long vertical line segment begins at 216 on the horizontal axis.
A 48 unit long horizontal line segment begins at the tickmark labeled 168 on the horizontal axis and the tickmark labeled 1/48 on the vertical axis. This line segment connects the two vertical line segments.

A 1/48 unit long vertical line segment begins at 180 on the horizontal axis.
A 1/48 unit long vertical line segment begins at 216 on the horizontal axis.
A 36 unit long horizontal line segment begins at the tickmark labeled 180 on the horizontal axis and the tickmark labeled 1/48 on the vertical axis. This line segment connects the two vertical line segments.

(b)

What is the probability that the flight will be no more than 6 minutes late?

(c)

What is the probability that the flight will be more than 12 minutes late?

(d)

What is the expected flight time, in minutes?

min

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Continuous Probability Distribution$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.