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I need C and D: Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean

I need C and D:

Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of25daysand a standard deviation of6days.

  • Part (a)
  • In words, define the random variableX.
  • the mean time of all trials
  • the number of trials that last 25 days
  • the length, in hours, of a criminal trial
  • the length, in days, of a criminal trial
  • Correct! The length, in days, of a criminal trial is the variable of interest.
  • Part (b)
  • Give the distribution ofX.
  • X~
  • ,
  • Part (c)
  • If one of the trials is randomly chosen, find the probability that it lasted more than28days.(Round your answer to four decimal places.)
  • Sketch the graph.
  • Write the probability statement.
  • Px>28
  • The random variable is defined as capital X.
  • Part (d)
  • 72%of all trials of this type are completed within how many days? (Round your answer to two decimal places.)
  • days

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