Suppose x is a normally distributed random variable with μ=10 and σ=2. Find each of the following probabilities.   a. ​ P(x≥14​)   b. ​ P(x≤8.5​)   c.

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Suppose x is a normally distributed random variable with
μ=10
and
σ=2.
Find each of the following probabilities.
 
a.
​ P(x≥14​)
  b.
​ P(x≤8.5​)
  c.
​ P(11.18≤x≤14.72​)
  d.
​ P(5.24≤x≤12.76​)
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