Given that z is a standard normal random variable compute th

Given that z is a standard normal random variable, compute the following probabilities (to 4 decimals)

Solution

a)
Using a table/technology, the left tailed area of this is          
          
P(z <   -1   ) =    0.158655254 [ANSWER]

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b)

Using a table/technology, the right tailed area of this is          
          
P(z >   -1   ) =    0.841344746 [ANSWER]

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c)

Using a table/technology, the right tailed area of this is          
          
P(z >   -1.5   ) =    0.933192799 [ANSWER]

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d)

Using a table/technology, the right tailed area of this is          
          
P(z >   -2.5   ) =    0.993790335 [ANSWER]

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e)

z1 = lower z score =    -3      
z2 = upper z score =     0      
          
Using table/technology, the left tailed areas between these z scores is          
          
P(z < z1) =    0.001349898      
P(z < z2) =    0.5      
          
Thus, the area between them, by subtracting these areas, is          
          
P(z1 < z < z2) =    0.498650102   [ANSWER]