● 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 F B 2. Use the random variable notation to express symbolically each of the following: P(X<1) P(X<1)=0.25 X<1 P(X<1) P(X<1)=0.25 X<1 The probability of an event in which the waiting time of a randomly selected passenger is less than 1. ✓An event in which the waiting time of a randomly selected passenger is less X-? (a= ✓ 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? iii. between 1 and 3 minutes to wait for the train? 4. Compute the following: ,b= i. the expected value of X. iv. more than 7 minutes to wait for the train? Hx= (round the answer to 2 decimal places) ii. the standard deviation of X. v. less than 12 minutes to wait for the train? σχ (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)
● 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 F B 2. Use the random variable notation to express symbolically each of the following: P(X<1) P(X<1)=0.25 X<1 P(X<1) P(X<1)=0.25 X<1 The probability of an event in which the waiting time of a randomly selected passenger is less than 1. ✓An event in which the waiting time of a randomly selected passenger is less X-? (a= ✓ 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? iii. between 1 and 3 minutes to wait for the train? 4. Compute the following: ,b= i. the expected value of X. iv. more than 7 minutes to wait for the train? Hx= (round the answer to 2 decimal places) ii. the standard deviation of X. v. less than 12 minutes to wait for the train? σχ (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)
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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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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