Suppose that the travel time from your home to your office

In summary, the average travel time from home to office in the United States is 26 minutes and can vary depending on factors such as traffic, mode of transportation, and distance. The most efficient mode of transportation for this commute depends on individual preferences and factors such as cost, time, and environmental impact. The distance from home to office is a significant factor in determining travel time and can be reduced by taking alternative routes, avoiding peak traffic hours, and using more efficient modes of transportation. Weather conditions can also impact travel time and it is important to plan accordingly for safety and efficiency.
  • #1
TomJerry
50
0
Question:
Suppose that the travel time from your home to your office is normally distributed with mean 40 minutes and standard deviation 7 minutes. If you want to be 95% certain that you will not be late for an office appointment at 1p.m. what is the latest time that you should leave home?

Solution

here mean = 40 S.D=7

using Z = (X - 40)/72

but how should is calculate the minumum time?
 
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  • #2
You're looking for an interval. 95% of the area under the normal curve lies within how many SDs of the mean?
 
  • #3
Hint: Chebyshev's theorem
 

What is the average travel time from home to office?

The average travel time from home to office can vary depending on factors such as traffic, mode of transportation, and distance. On average, it takes individuals in the United States about 26 minutes to commute from home to work.

What is the most efficient mode of transportation for this commute?

The most efficient mode of transportation for a commute depends on the individual's location and personal preferences. Some may find driving to be the most convenient, while others may prefer public transportation. It is important to consider factors such as cost, time, and environmental impact when choosing the most efficient mode of transportation.

How does the distance from home to office impact travel time?

The distance from home to office is a significant factor in determining travel time. The longer the distance, the longer the travel time will be. Additionally, factors such as traffic and mode of transportation can also impact travel time.

Can travel time from home to office be reduced?

Yes, travel time from home to office can be reduced by taking alternative routes, avoiding peak traffic hours, and using more efficient modes of transportation. Employers can also consider implementing flexible work schedules to reduce commute times for their employees.

How does weather affect travel time from home to office?

Weather conditions such as rain, snow, or extreme temperatures can significantly impact travel time. In these cases, it is important to plan for extra time for the commute and to adjust travel plans accordingly to ensure safety and efficiency.

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