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The time X it takes Hattan to drive to work on a randomly selected day follows a distribution that is approximately Normal with mean 15 minutes and standard deviation 6.5 minutes. Once he parks his car in his reserved space, it takes 5 more minutes for him to walk to his office. Let T = the total time it takes Hattan to reach his office on a randomly selected day, so T = X + 5. Describe the shape, center, and variability of the probability distribution of T.

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Answer:

Shape: Approximately Normal

Center: 20 minutes

Variability: 6.5 minutes.

Using statistical concepts, it is found that the distribution is normal, with mean (center) of 20 minutes, and standard deviation of 6.5 minutes.

When a constant is added to a normal variable, the distribution remains normal and the standard deviation remains constant, while the constant is added to the mean.

In this problem, a constant of 5 minutes is added to a normal variable with mean of 15 minutes and standard deviation of 6.5 minutes, hence, the distribution is:

Normal, with mean (center) of 20 minutes, and standard deviation of 6.5 minutes.

A similar problem is given at https://brainly.com/question/20713526

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