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What is the probability that Olivia receives exactly 3 texts from Robert after the fifth text, but before the 11th text of the day?

What is the probability that Olivia receives exactly 3 texts from Robert after the fifth text, but before the 11th text of the day?

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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Robert and Olivia text each other often. For each text that is received by Olivia, the probability that it was from Robert is 70%. Olivia notices that this does not remain true throughout the day. After receiving the fifth text of the day, if Robert had sent her more than 3 texts, she estimates that the probability of receiving a text from Robert is now 50%. Otherwise, the probability of receiving a text from Robert is now 80%. What is the probability that Olivia receives exactly 3 texts from Robert after the fifth text, but before the 11th text of the day?
Transcribed Image Text:Robert and Olivia text each other often. For each text that is received by Olivia, the probability that it was from Robert is 70%. Olivia notices that this does not remain true throughout the day. After receiving the fifth text of the day, if Robert had sent her more than 3 texts, she estimates that the probability of receiving a text from Robert is now 50%. Otherwise, the probability of receiving a text from Robert is now 80%. What is the probability that Olivia receives exactly 3 texts from Robert after the fifth text, but before the 11th text of the day?
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