Distribution Board
The weight of airline passengers is 150 pounds a distribution with mean and standard deviation of 30 pounds?
a) If 100 passengers on board of an airplane, what is the probability that their total weight exceeds safety limit device aircraft 16,000 pounds? b) Can you find the probability that a randomized single passenger weighing over 160 pounds? Why or why not?
Let T be the total weight. Did you mean 'has a distribution normal? T has a normal) distribution (with an average of 100 (150) = 15.000 and standard deviation of 100 (30) = 3000 a μ) Σ = 15000 = 3000 P (x> 16000) = P (z> (16000-15000) / 3000) = P (z> 0.3333) = 0.3707 b) μ = 150 σ = 30 P (x> 160) = P (z> (160-150) / 30 ) = P (z> 0.3333) = 0.3707
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