6. A lightbulb will work until failure. Being a cheap Chinese import the lightbulb has a 0.001 chance of failure each time you turn on the lightbulb. We can think of failure when you turn on the lights as a Geometric Distribution A. What is a "success" for this Geometric Distribution? B. Find the probability of "success" or p for this Geometric Distribution. C. Find the probability of "not success" or q
6. A lightbulb will work until failure. Being a cheap Chinese import the lightbulb has a 0.001 chance of failure each time you turn on the lightbulb. We can think of failure when you turn on the lights as a Geometric Distribution A. What is a "success" for this Geometric Distribution? B. Find the probability of "success" or p for this Geometric Distribution. C. Find the probability of "not success" or q
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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Transcribed Image Text:6. A lightbulb will work until failure. Being a cheap Chinese import, the lightbulb has a 0.001 chance of failure each time you turn on the lightbulb. We can think of failure when you turn on the lights as a Geometric Distribution.
A. What is a "success" for this Geometric Distribution?
B. Find the probability of "success" or \( p \) for this Geometric Distribution.
C. Find the probability of "not success" or \( q \).
Expert Solution

Step 1
Given:
A bulb will work until failure.
It is given that the lightbulb has a 0.001 chance of failure each time
Formula Used:
Geometry is a distribution of the number of independent Bernoulli trials performed until a success.
Where p = Probability of success.
q = 1-p = probability of not success.
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