(a) A type of lightbulb is labeled as having an average lifetime of 1,000 hours. It's reasonable to model the probability of failure of these bulbs by an exponential density function with mean ? = 1,000. (i) Use this model to find the probability that a bulb fails within the first 500 hours. (Round your answer to three decimal places.) (ii) Use this model to find the probabilit

(a) A type of lightbulb is labeled as having an average lifetime of 1,000 hours. It's reasonable to model the probability of failure of these bulbs by an exponential density function with mean ? = 1,000. (i) Use this model to find the probability that a bulb fails within the first 500 hours. (Round your answer to three decimal places.) (ii) Use this model to find the probabilit

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 5SE: What does the y -intercept on the graph of a logistic equation correspond to for a population...

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(a)

A type of lightbulb is labeled as having an average lifetime of 1,000 hours. It's reasonable to model the probability of failure of these bulbs by an exponential density function with mean ? = 1,000.

(i)

Use this model to find the probability that a bulb fails within the first 500 hours. (Round your answer to three decimal places.)

(ii)

Use this model to find the probability that a bulb burns for more than 900 hours. (Round your answer to three decimal places.)

(b)

What is the median lifetime of these lightbulbs? (Round your answer to one decimal place.)

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