Question

Overweight baggage. Suppose weights of the checked baggage of airline passengers follow a nearly normal distribution with mean 38 pounds and standard deviation 5.4 pounds. Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee. Round your answer to four decimal places

Answer 1

Answer: Suppose weights of the checked baggage of airline passengers follow a nearly normal distribution with mean 38 pounds and standard deviation 5.4 pounds. Most airlines charge a fee for baggage that weigh in excess of 50 pounds.

Solution:

Mean, μ = 38

Standard deviation, σ = 5.4

The percent of airline passengers incur this fee:

P(X > 50) = P(X-μ)/σ > (50 - 38)/5.4

= P(Z > 2.22)

= 1 - P(Z < 2.22)

= 1 - 0.9868

= 0.01321

= 1.3210

Therefore, the percent of airline passengers incur this fee is 1.3210