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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 ♥| 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) v The probability of an event in which the waiting time of a randomly selected passenger is less than 1. 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)

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 ♥| 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) v The probability of an event in which the waiting time of a randomly selected passenger is less than 1. 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)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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)
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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