Find a value for the standard normal variable such that the

Find a value for the standard normal variable such that the probability of a larger value is equal to .025.

What is the probability that the value the standard normal random variable assumes will be greater than 0.64?

Solution

a)

The left tailed area for this z is 1-0.025 = 0.975.

Thus,
          
Left tailed area =    0.975      
          
Then, using table or technology,          
          
z =    1.959963985   [ANSWER]

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b)

Using a table/technology, the right tailed area of this is          
          
P(z >   0.64   ) =    0.2610863 [ANSWER]