[Steps Shown] Weight Suppose the weight of pieces of passenger luggage for domestic airline flights follows a normal distribution with μ=40 pounds and


Question: Weight Suppose the weight of pieces of passenger luggage for domestic airline flights follows a normal distribution with \(\mu=40\) pounds and \(\sigma=10.63\) pounds.

  1. Find the probability that a piece of luggage weighs less than 45 pounds.
  2. Find the probability that the total weight of the luggage for 80 passengers on a particular flight is between 1200 and 2400 pounds. (Assume passenger has one piece of luggage.)
  3. Find the probability that the total weight of the for 125 passengers on a particular flight luggage for 125 passengers more than 5600 pounds. (Assume each

passenger has one piece of luggage.)

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