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Question 4 A city metro train on the red line runs every 4 minutes during the time between 6 am and 7 am. Let X be the waiting time of a randomly selected passenger between 6 am and 7 am. 1. Describe the distribution of X: X~ NTUNEB (a= ,b=

Question 4 A city metro train on the red line runs every 4 minutes during the time between 6 am and 7 am. Let X be the waiting time of a randomly selected passenger between 6 am and 7 am. 1. Describe the distribution of X: X~ NTUNEB (a= ,b=

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question 4 A city metro train on the red line runs every 4 minutes during the time between 6 am and 7 am. Let X be the waiting time of a randomly selected passenger between 6 am and 7 am. 1. Describe the distribution of X: P(X<1) P(X<1)=0.25 X<1 P(X<1) P(X<1)=0.25 X<1 P(X<1) P(X<1)=0.25 X<1 2. Use the random variable notation to express symbolically each of the following: X-? (a= ✓ The probability of an event in which the waiting time of a randomly selected passenger is less than 1. Z ✓An event in which the waiting time of a randomly selected passenger is less B ✓ The probability of an event in which the waiting time of a randomly selected passenger is less than 1 is equal to 0.25. 3. Use the above probability density curve to find the probability that it takes: i. less than 1 minutes to wait for the train? ii. more than 1 minutes to wait for the train? 4. Compute the following: i. the expected value of X. iii. between 1 and 3 minutes to wait for the train? fx= μχ ,b= ii. the standard deviation of X. iv. more than 7 minutes to wait for the train? ox= (round the answer to 2 decimal places) v. less than 12 minutes to wait for the train? (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places)
Transcribed Image Text:Question 4 A city metro train on the red line runs every 4 minutes during the time between 6 am and 7 am. Let X be the waiting time of a randomly selected passenger between 6 am and 7 am. 1. Describe the distribution of X: P(X<1) P(X<1)=0.25 X<1 P(X<1) P(X<1)=0.25 X<1 P(X<1) P(X<1)=0.25 X<1 2. Use the random variable notation to express symbolically each of the following: X-? (a= ✓ The probability of an event in which the waiting time of a randomly selected passenger is less than 1. Z ✓An event in which the waiting time of a randomly selected passenger is less B ✓ The probability of an event in which the waiting time of a randomly selected passenger is less than 1 is equal to 0.25. 3. Use the above probability density curve to find the probability that it takes: i. less than 1 minutes to wait for the train? ii. more than 1 minutes to wait for the train? 4. Compute the following: i. the expected value of X. iii. between 1 and 3 minutes to wait for the train? fx= μχ ,b= ii. the standard deviation of X. iv. more than 7 minutes to wait for the train? ox= (round the answer to 2 decimal places) v. less than 12 minutes to wait for the train? (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places)
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