The weights of individuals who seek a helicopter ride in an amusement park have a mean of

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The weights of individuals who seek a helicopter ride in an amusement park have a mean of 180 lb and a standard deviation of 15 lb. The helicopter can carry five persons but has a maximum weight capacity of 1000 lb. What is the probability that the helicopter will not take off with five persons aboard? (Hint: Apply the central limit theorem.)

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