Jamaica Auto Service is a popular place for car service. It is also known that the mean time taken for service at this station is 15 minutes per car and the standard deviation is 2.5 minutes. It is also known that the time taken for service on a car follows normal distribution. four decimal places) a) What is the probability that a randomly selected customer will have to wait at most 14 minutes for service? (round b) What percentage of customers will have to wait between 12 and 18 minutes for their service? (round to nearest percentage) c) Is it likely that it may take longer than 23 minutes for service? Find the likelihood of happening this and justify your answer. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). *** X² X₂ I A XQ V 10pt B I US Paragraph E Arial

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Jamaica Auto Service is a popular place for car service. It is also known that the mean time taken for service at this station is 15 minutes per car and the standard deviation is 2.5 minutes. It is also known that the time taken for service on a car follows a
normal distribution.
a) What is the probability that a randomly selected customer will have to wait at most 14 minutes for service? (round to four decimal places)
b) What percentage of customers will have to wait between 12 and 18 minutes for their service? (round to nearest percentage)
c) Is it likely that it may take longer than 23 minutes for service? Find the likelihood of happening this and justify your answer.
For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
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Transcribed Image Text:Jamaica Auto Service is a popular place for car service. It is also known that the mean time taken for service at this station is 15 minutes per car and the standard deviation is 2.5 minutes. It is also known that the time taken for service on a car follows a normal distribution. a) What is the probability that a randomly selected customer will have to wait at most 14 minutes for service? (round to four decimal places) b) What percentage of customers will have to wait between 12 and 18 minutes for their service? (round to nearest percentage) c) Is it likely that it may take longer than 23 minutes for service? Find the likelihood of happening this and justify your answer. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). *** AV X² X₂ E 5 I A e XQ V Arial V 10pt B I U S Paragraph
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