
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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I need help answering all of section 3

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)
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