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Question 2 Passing cars. A student procrastinates, watching cars pass his house. After 10 black cars have passed, he will (finally) start his homework. He notices that the time between consecutive cars that pass is Exponentially distributed, and the times are independent, each with expected time of 1/5 of a minute. He also assumes that each car has a 30% chance of being black, and the colors of the cars are independent. How long should he expect to wait until the 10th black car arrives?

Question 2 Passing cars. A student procrastinates, watching cars pass his house. After 10 black cars have passed, he will (finally) start his homework. He notices that the time between consecutive cars that pass is Exponentially distributed, and the times are independent, each with expected time of 1/5 of a minute. He also assumes that each car has a 30% chance of being black, and the colors of the cars are independent. How long should he expect to wait until the 10th black car arrives?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 12PPS
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Question 2 Passing cars. A student procrastinates, watching cars pass his house. After 10 black cars have passed, he will (finally) start his homework. He notices that the time between consecutive cars that pass is Exponentially distributed, and the times are independent, each with expected time of 1/5 of a minute. He also assumes that each car has a 30% chance of being black, and the colors of the cars are independent. How long should he expect to wait until the 10th black car arrives?
Transcribed Image Text:Question 2 Passing cars. A student procrastinates, watching cars pass his house. After 10 black cars have passed, he will (finally) start his homework. He notices that the time between consecutive cars that pass is Exponentially distributed, and the times are independent, each with expected time of 1/5 of a minute. He also assumes that each car has a 30% chance of being black, and the colors of the cars are independent. How long should he expect to wait until the 10th black car arrives?
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