2.) A ski gondola in Vail, Colorado that carries skiers up a mountain bears a plaque stating that the maximum capacity is 12 people or 2004 lb. A worst-case scenario would be 12 adult male passengers, since they tend to be heavier than women or children. Assume adult male weights are normally distributed with a mean of 188.6 Ib. and standard deviation of 38.9 Ib. a.) If 12 men weighed exactly 2004 lb., what would be the average weight? b.) Find the probability that a single man will have a weight greater than your result from part (a). c.) Find the probability that 12 randomly selected men will have a weight greater than your results from part (a). d.) Does the gondola appear to have the correct weight limit? Why or why not?

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2.) A ski gondola in Vail, Colorado that carries skiers up a mountain bears a plaque stating that
the maximum capacity is 12 people or 2004 lb. A worst-case scenario would be 12 adult male
passengers, since they tend to be heavier than women or children. Assume adult male weights
are normally distributed with a mean of 188.6 Ib. and standard deviation of 38.9 Ib.
a.) If 12 men weighed exactly 2004 lb., what would be the average weight?
b.) Find the probability that a single man will have a weight greater than your result from part
(a).
c.) Find the probability that 12 randomly selected men will have a weight greater than your
results from part (a).
d.) Does the gondola appear to have the correct weight limit? Why or why not?
Transcribed Image Text:2.) A ski gondola in Vail, Colorado that carries skiers up a mountain bears a plaque stating that the maximum capacity is 12 people or 2004 lb. A worst-case scenario would be 12 adult male passengers, since they tend to be heavier than women or children. Assume adult male weights are normally distributed with a mean of 188.6 Ib. and standard deviation of 38.9 Ib. a.) If 12 men weighed exactly 2004 lb., what would be the average weight? b.) Find the probability that a single man will have a weight greater than your result from part (a). c.) Find the probability that 12 randomly selected men will have a weight greater than your results from part (a). d.) Does the gondola appear to have the correct weight limit? Why or why not?
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