STATS 211 BU Probabilities Aircraft Design Averages & Proportions Worksheet

Question Description

Seats in commercial airplanes are designed so most passengers arecomfortably seated. To design an airplane, an engineer at Bombardier Aerospaceuses the normally distributed height of Que?bec adults, which has a mean of 170cm and a standard deviation of 12 cm.

1. The designer will design the seating so 98% of passengers arecomfortable. What is the height of someone who is taller than 98% of allother Que?bec adults?
2. The airplane can hold up to 110 passengers. What is the probability thatthe average height of passengers is smaller than 100 or larger than 190cm?
3. If we market this airplane to the American market for which the meanheight of adult Americans is 185 cm with a standard deviations of 16 cm,what proportion of American adults would be taller than the height foundin (a)? Would this be a problem for Bombardier when it tries to sell theplane to American airline companies?

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