A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
Bartleby Related Questions Icon

Related questions

bartleby

Concept explainers

Question

I need help answering all of section 3

A city metro train on the black line runs every 6 minutes during the time between 10 am and 12 pm. Let X be
the waiting time of a randomly selected passenger between 10 am and 12 pm.
1. Describe the distribution of X:
X- B v (a= 2
b= 6
2. Use the random variable notation to express symbolically each of the following:
P(X<1)=0.17 v The probability of an event in which the waiting time of a randomly selected
passenger is less than 1 is equal to 0.17.
X<3
v An event in which the waiting time of a randomly selected passenger is less than 3.
P(X<1)
passenger is less than 1.
v The probability of an event in which the waiting time of a randomly selected
3. Use the above probability density curve to find the probability that it takes:
i. less than 3 minutes to wait for the train?
(round the answer to 2 decimal places)
ii. more than 1 minutes to wait for the train?
(round the answer to 2 decimal places)
iii. between 2 and 3 minutes to wait for the train?
(round the answer to 2 decimal places)
iv. more than 8 minutes to wait for the train?
(round the answer to 2 decimal places)
v. less than 10 minutes to wait for the train?
(round the answer to 2 decimal places)
expand button
Transcribed Image Text:A city metro train on the black line runs every 6 minutes during the time between 10 am and 12 pm. Let X be the waiting time of a randomly selected passenger between 10 am and 12 pm. 1. Describe the distribution of X: X- B v (a= 2 b= 6 2. Use the random variable notation to express symbolically each of the following: P(X<1)=0.17 v The probability of an event in which the waiting time of a randomly selected passenger is less than 1 is equal to 0.17. X<3 v An event in which the waiting time of a randomly selected passenger is less than 3. P(X<1) passenger is less than 1. v The probability of an event in which the waiting time of a randomly selected 3. Use the above probability density curve to find the probability that it takes: i. less than 3 minutes to wait for the train? (round the answer to 2 decimal places) ii. more than 1 minutes to wait for the train? (round the answer to 2 decimal places) iii. between 2 and 3 minutes to wait for the train? (round the answer to 2 decimal places) iv. more than 8 minutes to wait for the train? (round the answer to 2 decimal places) v. less than 10 minutes to wait for the train? (round the answer to 2 decimal places)
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Probability
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
A First Course in Probability (10th Edition)
Probability
ISBN:9780134753119
Author:Sheldon Ross
Publisher:PEARSON
Text book image
A First Course in Probability
Probability
ISBN:9780321794772
Author:Sheldon Ross
Publisher:PEARSON