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A commuter plane can safely carry a maximum of 9800 pounds of luggage. Today, 49 passengers are to board the plane. Experience has shown that

A commuter plane can safely carry a maximum of 9800 pounds of luggage. Today, 49 passengers are to board the plane. Experience has shown that passengers carry luggage with the mean weight of 205 pounds and standard deviation of 15 pounds. What is the probability that all passengers with their luggage can be safely transported by the commuter plane?

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