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In a production line for 10 kHz oscillators, the output frequency of each oscillator a random variable W uniformly distributed between 9980 Hz and 1020 Hz. The frequencies of different oscillators are independent. The oscillator company has an order for 10,000 oscillators with frequencies between 9998 Hz and 10,002 Hz. A technician takes one oscillator per minute from the production line and measures its exact frequency. (This test takes one minute.) The random variable T minutes is the elapsed time at which the technician finds r acceptable oscillators. 1. Find p, the probability that a single oscillator has required accuracy. 2. What is E[71] minutes, the expected time for the technician to find the first requested oscillator? 3. What is the probability that the technician will find the first required oscillator in exactly 20 minutes? 4. What is ET], the expected time of finding the fifth required oscillator?

In a production line for 10 kHz oscillators, the output frequency of each oscillator a random variable W uniformly distributed between 9980 Hz and 1020 Hz. The frequencies of different oscillators are independent. The oscillator company has an order for 10,000 oscillators with frequencies between 9998 Hz and 10,002 Hz. A technician takes one oscillator per minute from the production line and measures its exact frequency. (This test takes one minute.) The random variable T minutes is the elapsed time at which the technician finds r acceptable oscillators. 1. Find p, the probability that a single oscillator has required accuracy. 2. What is E[71] minutes, the expected time for the technician to find the first requested oscillator? 3. What is the probability that the technician will find the first required oscillator in exactly 20 minutes? 4. What is ET], the expected time of finding the fifth required oscillator?

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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2 Exercise Two In a production line for 10 kHz oscillators, the output frequency of each oscillator is a random variable W uniformly distributed between 9980 Hz and 1020 Hz. The frequencies of different oscillators are independent. The oscillator company has an order for 10,000 oscillators with frequencies between 9998 Hz and 10,002 Hz. A technician takes one oscillator per minute from the production line and measures its exact frequency. (This test takes one minute.) The random variable T minutes is the elapsed time at which the technician finds r acceptable oscillators. 1. Find p, the probability that a single oscillator has required accuracy. 2. What is E[T1] minutes, the expected time for the technician to find the first requested oscillator? 3. What is the probability that the technician will find the first required oscillator in exactly 20 minutes? 4. What is ET], the expected time of finding the fifth required oscillator?
Transcribed Image Text:2 Exercise Two In a production line for 10 kHz oscillators, the output frequency of each oscillator is a random variable W uniformly distributed between 9980 Hz and 1020 Hz. The frequencies of different oscillators are independent. The oscillator company has an order for 10,000 oscillators with frequencies between 9998 Hz and 10,002 Hz. A technician takes one oscillator per minute from the production line and measures its exact frequency. (This test takes one minute.) The random variable T minutes is the elapsed time at which the technician finds r acceptable oscillators. 1. Find p, the probability that a single oscillator has required accuracy. 2. What is E[T1] minutes, the expected time for the technician to find the first requested oscillator? 3. What is the probability that the technician will find the first required oscillator in exactly 20 minutes? 4. What is ET], the expected time of finding the fifth required oscillator?
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