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Using the Date and Time dialog box, add an automatic date stamp to the header of the document.
Use the July 5, 2019 format, The time X it takes Professor Sawyer to drive to campus on a randomly selected day follows a distribution that is approximately Normal with mean 37 minutes and standard deviation 3 minutes. After parking his car it takes an additional 3 minutes to walk to his classroom and 2 minutes to start the computer. Then he is ready to begin class. Let T = the total time it takes Professor Sawyer to get to his classroom and be ready to begin class. Describe the shape, center, and variability of the probability distribution of T.

Respuesta :

The probability distribution of T is described as follows:

  • Shape: normal.
  • Center: mean of 42 minutes.
  • Variability: standard deviation of 3 minutes.

What happens to the distribution with the addition of the measure of 5?

The shape of the distribution remains constant, hence it will remain normal.

Then we have to consider that the mean of a data-set is the sum of all observations divided by the number of observations. Each day, a measure of 5 minutes is added to the distribution, hence 5 is added to the mean of the distribution also.

The standard deviation of a distribution is the square root of the sum of the differences squared of each observation and the mean. As the mean is added by 5, as are each observations, the sum of the differences remains constant, hence the standard deviation also remains constant at 3.

More can be learned about probability distributions at https://brainly.com/question/28450969

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