It is known that the distribution of individual passengers checked-in baggage weight has a mean of 42 pounds and a standard deviation of 25 pounds. Suppose that a particular airplane, with a capacity of 125 passengers, can take at most 6,000 pounds of checked baggage. Assuming the plane has no empty seats, what is the approximate probability that the baggage limit will not be exceeded? Round your answer to 4 decimal places. Remember to round off your z-value to 2 decimal places.
Commercial airliners have a maximum allowable weight of passenger checked baggage. It is known that the distribution of individual passengers checked-in baggage weight has a mean of 42 pounds and a standard deviation of 25 pounds. Suppose that a particular airplane, with a capacity of 125 passengers, can take at most 6,000 pounds of checked baggage. Assuming the plane has no empty seats, what is the approximate probability that the baggage limit will not be exceeded? Round your answer to 4 decimal places. Remember to round off your z-value to 2 decimal places.
To answer the question input only the actual number. Do not include units. Do not give your answer in sentence form -- just include the numerical answer rounded to exactly 4 decimal places.
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