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Assume the number of downloads per day of a popular APP A follows a normally distribution with a mean of 2800 and standard deviation of

Assume the number of downloads per day of a popular APP A follows a normally distribution with a mean of 2800 and standard deviation of 860. Answer the following 4 questions.

  1. What is the probability there are 2000 or fewer downloads in a day?
  2. What is the probability there are between 1500 and 2500 downloads in a day?
  3. What is the probability there are more than 3000 downloads in a day?

A logistic company determined the distance traveled per truck per year follows a normally distribution with a mean of 50 thousand miles and standard deviation of 12 thousand miles. Answer the following 3 questions.

  1. What proportion of trucks travel between 35 and 50 thousand miles?
  2. What proportion of trucks travel less than 30 or more than 60 thousand miles?
  3. About 95% of trucks travel at least how many thousand miles?

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