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a.Thelifespanofaparticularspeciesofturtlearenormallydistributedwithameanof180years andastandarddeviationof40years.Whatistheprobabilitythatoneoftheseturtleswilllivemorethanacentury? 2.Asecondspeciesofalienhasameanheightof71cmandastandarddeviationof5.3cm.Analientologistdiscoversthat30%ofthembumptheirheadsgettingintotheirspaceship.Whatistheheightofthespaceshipdoor? 3. In Bayfield, 65% of residents read the Bayfield Breeze, a local online blog. Dennis wants to know what people think of

  1. a.Thelifespanofaparticularspeciesofturtlearenormallydistributedwithameanof180yearsandastandarddeviationof40years.Whatistheprobabilitythatoneoftheseturtleswilllivemorethanacentury?
  2. 2.Asecondspeciesofalienhasameanheightof71cmandastandarddeviationof5.3cm.Analientologistdiscoversthat30%ofthembumptheirheadsgettingintotheirspaceship.Whatistheheightofthespaceshipdoor?
  3. 3. In Bayfield, 65% of residents read the Bayfield Breeze, a local online blog. Dennis wants to know what people think of the blog, so he stops 40 people on the street to ask them if they read it.
    1. Verify that the normal distribution can be used to approximate this situation.
    2. What is the mean and standard deviation of the number of people he finds that read the Breeze?
    3. Whatistheprobabilitythatatleast25ofthepeopleheasksreadtheblog?
  4. 4. Yuen Zhi is running a ring toss event at a school fair. There is a 15% chance that each attempt wins a prize. She has 45 prizes and believes 250 people attempt the event. She is worried she won't have enough prizes. Can you reassure her she will probably be ok?

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