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9709 P61 - Nov 2009 - Q3
3273

The times for a certain car journey have a normal distribution with mean 100 minutes and standard deviation 7 minutes. Journey times are classified as follows:

  • 'short' (the shortest 33% of times),
  • 'long' (the longest 33% of times),
  • 'standard' (the remaining 34% of times).

(i) Find the probability that a randomly chosen car journey takes between 85 and 100 minutes.

(ii) Find the least and greatest times for 'standard' journeys.

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