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Assume that the time to finish a small quiz, is denoted by X, which has a...

Assume that the time to finish a small quiz, is denoted by X, which has a normal distribution with a mean of 10 minutes and a standard deviation equal to 6 minutes. If a student is randomly selected .

  1. What is the probability that he/she finished the quiz in less than 12 minutes?  
  2. Find the probability that he/she finished after 9 minutes?
  3. Find the probability that he/she needs at least 16 minutes to finish the quiz ?
  4. What percent of students need between 6 and 13 minutes to finish the quiz?
  5. Find the time represents the 85th percentile (cut-off for the top 15% of finishing times).
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