In any 15-minute interval, there is a 20% probability that you will see at least one shooting star. Assuming the arrivals of shooting stars during non-overlapping time intervals are independent. We will find the probability that you see at least one shooting star in a period of an hour by answering the following questions. (a) It is tempting to calculate the probability using 20%+20%+20%+20% = 4×20% = 80%, as there are four 15-minute intervals in an hour. This is wrong. Explain why the answer is flawed. If you don't have a clue, try to use the same logic to calculate the probability of seeing at least one shooting star in a period of two hours. (b) Let A;=observing no shooting star during the ith 15-minute interval, i=1, 2, 3, 4. How can you express the event of no shooting star in an hour using A;'s? Feel free to use the set operations introduced in this class. (c) Express the event of at least one shooting star using A;'s and compute the probability of at least one shooting star in a period of an hour.
In any 15-minute interval, there is a 20% probability that you will see at least one shooting star. Assuming the arrivals of shooting stars during non-overlapping time intervals are independent. We will find the probability that you see at least one shooting star in a period of an hour by answering the following questions. (a) It is tempting to calculate the probability using 20%+20%+20%+20% = 4×20% = 80%, as there are four 15-minute intervals in an hour. This is wrong. Explain why the answer is flawed. If you don't have a clue, try to use the same logic to calculate the probability of seeing at least one shooting star in a period of two hours. (b) Let A;=observing no shooting star during the ith 15-minute interval, i=1, 2, 3, 4. How can you express the event of no shooting star in an hour using A;'s? Feel free to use the set operations introduced in this class. (c) Express the event of at least one shooting star using A;'s and compute the probability of at least one shooting star in a period of an hour.
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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