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Suppose x is a normally distributed random variable with
muμequals=1212
and
sigmaσequals=22.
Find each of the following probabilities.
 
a.
 P(xgreater than or equals≥1616)
  b.
 P(xless than or equals≤1010)
  c.
 P(13.5213.52less than or equals≤xless than or equals≤17.0417.04)
  d.
 P(7.187.18less than or equals≤xless than or equals≤15.5615.56)
 
 
Find a value of the standard normal random variable z, call it
z 0z0,
such that the following probabilities are satisfied.
 
 
a.
 P(zless than or equals≤z 0z0)equals=0.72277227
b.
 P(minus−z 0z0less than or equals≤zless than or equals≤z 0z0)equals=0.80548054
 
c.
 P(minus−z 0z0less than or equals≤zless than or equals≤0)equals=0.47864786
d.
 P(minus−33less than<zless than<z 0z0)equals=0.5368
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    mathexpert121
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