Find the standard normal area for each of the following Roun

Solution

A)

z1 = lower z score =    1.21      
z2 = upper z score =     2.11      
          
Using table/technology, the left tailed areas between these z scores is          
          
P(z < z1) =    0.886860554      
P(z < z2) =    0.982570822      
          
Thus, the area between them, by subtracting these areas, is          
          
P(z1 < z < z2) =    0.095710269   [ANSWER]

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b)
  
z1 = lower z score =    2      
z2 = upper z score =     3      
          
Using table/technology, the left tailed areas between these z scores is          
          
P(z < z1) =    0.977249868      
P(z < z2) =    0.998650102      
          
Thus, the area between them, by subtracting these areas, is          
          
P(z1 < z < z2) =    0.021400234   [ANSWER]

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c)

z1 = lower z score =    -2      
z2 = upper z score =     2      
          
Using table/technology, the left tailed areas between these z scores is          
          
P(z < z1) =    0.022750132      
P(z < z2) =    0.977249868      
          
Thus, the area between them, by subtracting these areas, is          
          
P(z1 < z < z2) =    0.954499736   [ANSWER]

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d)

Using a table/technology, the right tailed area of this is          
          
P(z >   0.5   ) =    0.308537539 [ANSWER]