Question

In: Statistics and Probability

It has been proven that the time it takes for taxpayers to fill out the income...

  1. It has been proven that the time it takes for taxpayers to fill out the income tax return form follows a normal distribution with an average of 100 minutes and a standard deviation of 30 minutes.
  1. What is the probability of a randomly chosen taxpayer taking 70 to 130 minutes to complete this form?
  2. Find the value of K such that 5% of taxpayers take more than K minutes to complete the form.
  3. 50,000 taxpayers are chosen at random. Approximately how many takes more than an hour to complete the form?
  4. 7 taxpayers are chosen at random. What is the probability that between 3 and 5 of them will take more than two hours to leave the form?

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