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Researchers have observed that regular smokers have an average lifespan that is normally distributed and is 68 years with a standard deviation of 10 years.

  1. Researchers have observed that regular smokers have an average lifespan that is normally distributed and is 68 years with a standard deviation of 10 years. What percent of smokers will live beyond age 76?
  2. An alien specie has a mean height of 71cm and standard deviation of 5.3cm. An alietntologist discovers that 30% of them bump their heads getting into a spaceship. What is the height of the spaceship door?
  3. Scott is running a ring toss event at a school fair. There is a 15% chance that each attempt wins a prize. He has 45 prizes and believes 250 people attempt the event. He is worried he wont have enough prizes. Can you reassure him he will probably be ok?
  4. A species of alien has a mean height of 23cm and a standard deviation of 3.6cm. What is the probability that an alien chosen at random has a height of more than 20cm?

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