Question: An ambulance service has found that the time that elapses between the receipt of an emergency call and the arrival of an ambulance at the scene is normally distributed with a mean of 12 minutes and a standard deviation of 7 minutes.

1. What is the probability that, for a random call, the elapsed time is more than 15 minutes?
2. The probability is $0.10$ that, for a random call, the elapsed time is more
   than how many minutes?
3. In a random sample of 4 calls, what is the probability that more than two emergency calls take more than 15 minutes? (Hint: Use the answer to (a) to find the distribution of the number of calls that take longer than 15 minutes.)

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