Commute Time to Work The average commute to work (one way) is 25 minutes according to the 2005 American Community Survey. If we assume that commuting times are normally distributed and that the standard deviation is 6.1 minutes, find the probabilities. Use a TI-83 Plus/TI-84 Plus calculator and round the answers to at least four decimal places. (a) The selected commuter spends more than 28 minutes commuting one way. P(X > 28) =
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In this case, the mean (μ) is 25 minutes and the standard deviation (σ) is 5 minutes. Show more…
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Commute Time to Work The average commute to work (one way) is 25 minutes according to the 2005 American Community Survey. If we assume that commuting times are normally distributed and that the standard deviation is 6.1 minutes, find the probabilities. Use a TI-83 Plus/TI-84 Plus calculator and round the answers to at least four decimal places. (a) The selected commuter spends more than 29 minutes commuting one way. P(X>29) =
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Commute Time to Work The average commute to work (one way) is 25 minutes according to the 2005 American Community Survey. If we assume that commuting times are normally distributed and that the standard deviation is 6.1 minutes, calculate the probability that a randomly selected commuter spends for the following cases. Round the final answers to at least four decimal places and intermediate z-value calculations to two decimal places. P(X less than 12)=
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The mean of the commute time to work for a resident of a certain city is 27.8 minutes. Assume that the standard deviation of the commute time is 7.1 minutes to complete parts (a) through (c). (a) What minimum percentage of commuters in the city has a commute time within 2 standard deviations of the mean? 75% (b) What minimum percentage of commuters in the city has a commute time within 2.5 standard deviations of the mean? What are the commute times within 2.5 standard deviations of the mean? The minimum percentage of commuters in the city that has a commute time within 2.5 standard deviations of the mean is 84%. (Round to one decimal place as needed.) The commute times within 2.5 standard deviations of the mean are between blank and blank.
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