A city bus runs every 6 minutes on a certain route. Let X be the waiting time of a passenger arriving at a random time to a bus stop. 1. Describe the distribution of X: ₁b-6 2. Use the random variable notation to express symbolically each of the following: P(X<3) The probability of an event in which the waiting time of a randomly selected passenger is less than 3. ✓An event in which the waiting time of a randomly selected passenger is less X<2 than 2. X-U P(X<5)=0.83 The probability of an event in which the waiting time of a randomly selected passenger is less than 5 is equal to 0.83. 3. Use the above probability density curve to find the probability that it takes: i. less than 2 minutes to wait for the bus? (a=0 ii. more than 3 minutes to wait for the bus? 0.33 (round the answer to 2 decimal places) 4. Find the 55-th percentile: iii. between 3 and 4 minutes to wait for the bus? I 55% 0.33x (round the answer to 2 decimal places) 0.17 iv. more than 7 minutes to wait for the bus? 0.00 (round the answer to 2 decimal places) v. less than 13 minutes to wait for the bus? 1.00 (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places)
A city bus runs every 6 minutes on a certain route. Let X be the waiting time of a passenger arriving at a random time to a bus stop. 1. Describe the distribution of X: ₁b-6 2. Use the random variable notation to express symbolically each of the following: P(X<3) The probability of an event in which the waiting time of a randomly selected passenger is less than 3. ✓An event in which the waiting time of a randomly selected passenger is less X<2 than 2. X-U P(X<5)=0.83 The probability of an event in which the waiting time of a randomly selected passenger is less than 5 is equal to 0.83. 3. Use the above probability density curve to find the probability that it takes: i. less than 2 minutes to wait for the bus? (a=0 ii. more than 3 minutes to wait for the bus? 0.33 (round the answer to 2 decimal places) 4. Find the 55-th percentile: iii. between 3 and 4 minutes to wait for the bus? I 55% 0.33x (round the answer to 2 decimal places) 0.17 iv. more than 7 minutes to wait for the bus? 0.00 (round the answer to 2 decimal places) v. less than 13 minutes to wait for the bus? 1.00 (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%

Transcribed Image Text:Question 6
A city bus runs every 6 minutes on a certain route. Let X be the waiting time of a passenger arriving at a
random time to a bus stop.
1. Describe the distribution of X:
✓₁b-6
2. Use the random variable notation to express symbolically each of the following:
P(X<3) ✓ The probability of an event in which the waiting time of a randomly selected
passenger is less than 3.
✓ An event in which the waiting time of a randomly selected passenger is less
X<2
than 2.
X~ U✓
P(X<5)=0.83 The probability of an event in which the waiting time of a randomly selected
passenger is less than 5 is equal to 0.83.
3. Use the above probability density curve to find the probability that it takes:
i. less than 2 minutes to wait for the bus?
(a=0
ii. more than 3 minutes to wait for the bus?
0.33 (round the answer to 2 decimal places)
4. Find the 55-th percentile:
iii. between 3 and 4 minutes to wait for the bus?
I 55%
0.33x (round the answer to 2 decimal places)
0.17
iv. more than 7 minutes to wait for the bus?
(round the answer to 2 decimal places)
0.00
v. less than 13 minutes to wait for the bus?
1.00
(round the answer to 2 decimal places)
(round the answer to 2 decimal places)
(round the answer to 2 decimal places)
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman