An airline analyst predicts an avergage monthly demand of 3,900 passengers and a standard deviation of 400 passengers on a particular plane route. Assume the monthy demand is approximately normally distributed.
A.) FInd the probability that in a given month the demand for the flight is between 3,500 and 4,300.
B.) Next month the actual demand is 2.500. FInd the probability that the demand for this route would be 2,500 or less if the analyst's predictions are correct.
C.) If the actual demand for the next month actually turns out to be 2,500 passengers, whould you be convinced that the analyst's predictions are wrong? Explain.