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In: Statistics and Probability

Question 4: The time to finish the Abu Dhabi Grand Prix Formula one (F1) motor race...

Question 4: The time to finish the Abu Dhabi Grand Prix Formula one (F1) motor race is normally distributed with a mean of 106.47 minutes and a standard deviation of 0.376 minutes.

  1. What is the probability that the finishing time of a F1 car in the race selected at random at most 106.375 min?
  2. Find the probability that the finishing time of a randomly selected F1 car in the race is between 106.375 min and 107.065 min.
  3. What is the finishing time (t0) such that 95% of the F1 racing cars in the population have finishing time at most t0?
  4. The probability that each of the F1 cars will not finish the race for any reason is 0.12. Given that there were 25 qualified F1 cars in a race, find the probability that at most 5 of these cars will not finish the race.

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orchestra answered 3 years ago
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