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

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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 \( q \).
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.

P(X=x) = pqn-x,                      x = 1, 2, 3, .....

Where p = Probability of success.

q = 1-p = probability of not success.

 

 

 

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