In response to the increasing weight of airline passengers, the Federal Aviation Administration in 2003 told airlines to assume
that passengers average 194 pounds in the summer, including clothing and carry-on baggage. But passengers vary, and the FAA did not specify a standard deviation. A reasonable standard deviation is 36 pounds. Weights are not Normally distributed, especially when the population includes both men and women, but they are not very non-Normal. A commuter plane carries 22 passengers. What is the approximate probability that the total weight of the passengers exceeds 4668 pounds? (Round your answer to four decimal places.)
2 answers:
Answer:
Probability = 0.0089
Step-by-step explanation:
From the question ;
Mean (μ) = 194 pounds
Standard deviation(σ) = 36 pounds
Minimum total weight = 4688
Passengers carried = 22
Thus average weight = 4668/22 = 212.18
The z-value is given by;
Z = (x - μ) / ((σ)/√n)
Z= (212.18 - 194)/(36/√22)
Z = 18.18/7.675 = 2.37
Using the table I attached ;
P(z>2.37) = 0.0089
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