A voltage reference is an electronic device intended to output a constant voltage However, such devices have small amounts of random drift in the output voltage over time. Suppose that, once per hour, a particular voltage reference will: • increase its output voltage by 1 V with probability • decrease its output voltage by 1 V with probability • keep the same output voltage as the previous hour with probability/ The random changes are independent from hour to hour. After being initialized with an output voltage of 30 V, what is the maximum number of hours he device can be used so that P(output voltage ≤ 40 V) ≥ 0.8413?

A voltage reference is an electronic device intended to output a constant voltage However, such devices have small amounts of random drift in the output voltage over time. Suppose that, once per hour, a particular voltage reference will: • increase its output voltage by 1 V with probability • decrease its output voltage by 1 V with probability • keep the same output voltage as the previous hour with probability/ The random changes are independent from hour to hour. After being initialized with an output voltage of 30 V, what is the maximum number of hours he device can be used so that P(output voltage ≤ 40 V) ≥ 0.8413?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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