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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 D. State the Probability Distribution Function for this Geometric Distribution E. What is the expected number of times you can turn on the lights before this bulb fails? F. Find P(fails after turning on lights 2001 times) to the nearest ten millionths (hint: the next 3 digits are 9's;

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 D. State the Probability Distribution Function for this Geometric Distribution E. What is the expected number of times you can turn on the lights before this bulb fails? F. Find P(fails after turning on lights 2001 times) to the nearest ten millionths (hint: the next 3 digits are 9's;

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 4E
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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 D. State the Probability Distribution Function for this Geometric Distribution E. What is the expected number of times you can turn on the lights before this bulb fails? F. Find P(fails after turning on lights 2001 times) to the nearest ten millionths (hint: the next 3 digits are 9's;
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 D. State the Probability Distribution Function for this Geometric Distribution E. What is the expected number of times you can turn on the lights before this bulb fails? F. Find P(fails after turning on lights 2001 times) to the nearest ten millionths (hint: the next 3 digits are 9's;
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