(Previous exam question). A wine producer is trying to decide if it is time to harvest his grapes. He sends out two of his pickers to collect several bunches of grapes in order to measure the sugar content of each bunch. If the mean sugar content of both the first and the second picker's bunches exceeds 24.0oBRIX, the producer will harvest, otherwise he will wait. The first picker collects 50 bunches and the second picker collects 100 bunches. The bunches are chosen randomly and independently. If the true mean sugar content of all grape bunches in the vineyard is 23.75oBRIX with a variance of .781, what is the probability that the harvest will begin? Answer: 2. .0000524

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