(a) A type of lightbulb is labeled as having an average lifetime of 1000 hours. It's reasonable to model the probability of failure of these bulbs by an exponential density function with mean u 1000 (i) Use this model to find the probability that a bulb fails within the first 300 hours. (Round your answer to three decimal places.) (ii) Use this model to find the probability that a bulb burns for more than 700 hours. (Round your answer to three decimal places.) (b) What is the median lifetime of these lightbulbs? (Round your answer to one decimal place.) hr According to the National Health Survey, the heights adult males in the United States are normally distributed with mean 69.0 inches and standard deviation 2.8 inches. (a) What is the probability that an adult male chosen at random is between 67 and 71 inches tall? (Round your answer to three decimal places.) (b) What percentage of the adult male population is more than 6 feet tall? (Round your answer to one decimal place.)

(a) A type of lightbulb is labeled as having an average lifetime of 1000 hours. It's reasonable to model the probability of failure of these bulbs by an exponential density function with mean u 1000 (i) Use this model to find the probability that a bulb fails within the first 300 hours. (Round your answer to three decimal places.) (ii) Use this model to find the probability that a bulb burns for more than 700 hours. (Round your answer to three decimal places.) (b) What is the median lifetime of these lightbulbs? (Round your answer to one decimal place.) hr According to the National Health Survey, the heights adult males in the United States are normally distributed with mean 69.0 inches and standard deviation 2.8 inches. (a) What is the probability that an adult male chosen at random is between 67 and 71 inches tall? (Round your answer to three decimal places.) (b) What percentage of the adult male population is more than 6 feet tall? (Round your answer to one decimal place.)

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Description: Answer the 2 parts of the question attached as images. (a) A type of lightbulb is labeled as having an average lifetime of 1000 hours. It's reasonable to model the probability of failure of these bulbs by an exponential density function with mean u 1

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter10: Exponential And Logarithmic Functions

Section10.3: Evaluate And Graph Logarithmic Functions

Problem 10.53TI: In 1906, San Francisco experienced an intense earthquake with a magnitude of 7.8 on the Richter...

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Question

Answer the 2 parts of the question attached as images.

(a) A type of lightbulb is labeled as having an average lifetime of 1000 hours. It's reasonable to model the probability of failure of these bulbs by an exponential density function with mean u 1000
(i) Use this model to find the probability that a bulb fails within the first 300 hours. (Round your answer to three decimal places.)
(ii) Use this model to find the probability that a bulb burns for more than 700 hours. (Round your answer to three decimal places.)
(b) What is the median lifetime of these lightbulbs? (Round your answer to one decimal place.)
hr

According to the National Health Survey, the heights
adult males in the United States are normally distributed with mean 69.0 inches and standard deviation 2.8 inches.
(a) What is the probability that an adult male chosen at random is between 67 and 71 inches tall? (Round your answer to three decimal places.)
(b) What percentage of the adult male population is more than 6 feet tall? (Round your answer to one decimal place.)

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