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The lifetimes of two brands of light bulbs, A and B, are normally distributed. Brand A has a mean lifetime of 800 hours with a standard deviation of 50 hours, while brand B has a mean lifetime of 850 hours with a standard deviation of 60 hours. If a random light bulb is selected and it lasts more than 820 hours, what is the probability that it belongs to brand B?

The lifetimes of two brands of light bulbs, A and B, are normally distributed. Brand A has a mean lifetime of 800 hours with a standard deviation of 50 hours, while brand B has a mean lifetime of 850 hours with a standard deviation of 60 hours. If a random light bulb is selected and it lasts more than 820 hours, what is the probability that it belongs to brand B?

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.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Question1 13 POCO SHOT ON POCO M2 ▸ ||| I !!!! Question 2: The lifetimes of two brands of light bulbs, A and B, are normally distributed. Brand A has a mean lifetime of 800 hours with a standard deviation of 50 hours, while brand B has a mean lifetime of 850 hours with a standard deviation of 60 hours. If a random light bulb is selected and it lasts more than 820 hours, what is the probability that it belongs to brand B? · ▸
Transcribed Image Text:Question1 13 POCO SHOT ON POCO M2 ▸ ||| I !!!! Question 2: The lifetimes of two brands of light bulbs, A and B, are normally distributed. Brand A has a mean lifetime of 800 hours with a standard deviation of 50 hours, while brand B has a mean lifetime of 850 hours with a standard deviation of 60 hours. If a random light bulb is selected and it lasts more than 820 hours, what is the probability that it belongs to brand B? · ▸
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