A transportation startup named Lime conducted a test which indicates the lifetime of their rechargable electric scooter batteries is normally distributed with a mean of 53 hours and a standard deviation of 11 hours. a. If a Lime Scooter is randomly selected, what is the probability that its battery will last longer than 66 hours? Answer in exact fraction, or rounded to at least 4 decimal places. b. What is the probability that a randomly selected battery will have a lifetime between 51 hours and 78 hours? Answer in exact fraction, or rounded to at least 4 decimal places. c. Lime has decided to offer a free replacement battery to any customer whose battery does not last at least as long as the minimum lifetime specified in its guarantee. Therefore, what should be the specified minimum lifeteime such that no more than 95.59% of batteries need to be replaced? Answer in exact fraction, or rounded to at least 2 decimal places. hours

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Problem 2
A transportation startup named Lime conducted a test which indicates the lifetime of their rechargable electric
scooter batteries is normally distributed with a mean of 53 hours and a standard deviation of 11 hours.
a. If a Lime Scooter is randomly selected, what is the probability that its battery will last longer than 66 hours?
Answer in exact fraction, or rounded to at least 4 decimal places.
b. What is the probability that a randomly selected battery will have a lifetime between 51 hours and 78 hours?
Answer in exact fraction, or rounded to at least 4 decimal places.
c. Lime has decided to offer a free replacement battery to any customer whose battery does not last at least as
long as the minimum lifetime specified in its guarantee. Therefore, what should be the specified minimum lifeteime
such that no more than 95.59% of batteries need to be replaced?
Answer in exact fraction, or rounded to at least 2 decimal places.
hours
Submit
You have used 0 of 2 attempts
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Transcribed Image Text:Problem 2 A transportation startup named Lime conducted a test which indicates the lifetime of their rechargable electric scooter batteries is normally distributed with a mean of 53 hours and a standard deviation of 11 hours. a. If a Lime Scooter is randomly selected, what is the probability that its battery will last longer than 66 hours? Answer in exact fraction, or rounded to at least 4 decimal places. b. What is the probability that a randomly selected battery will have a lifetime between 51 hours and 78 hours? Answer in exact fraction, or rounded to at least 4 decimal places. c. Lime has decided to offer a free replacement battery to any customer whose battery does not last at least as long as the minimum lifetime specified in its guarantee. Therefore, what should be the specified minimum lifeteime such that no more than 95.59% of batteries need to be replaced? Answer in exact fraction, or rounded to at least 2 decimal places. hours Submit You have used 0 of 2 attempts Save
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