PLEASE SHOW ALL WORK 6 Find each of the following probabilit

PLEASE SHOW ALL WORK!

6) Find each of the following probabilities for a normal distribution.

a) p (z > 1.25)

b) p (z > - 0.60)

c) p (z < 0.70)

d) p (z < - 1.30)

e) p (- 0.80 < z < 0.80)

f) p (- 0.50 < z < 1.00)

g) p (0.20 < z < 1.50)

h) p (- 1.20 < z < - 0.80)

Solution

A)

Using a table/technology, the left tailed area of this is          
          
P(z <   1.25   ) =    0.894350226
          
Thus, the right tailed area is the complement,          
P(z >   1.25   ) =    0.105649774 [ANSWER]

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B)

Using a table/technology, the left tailed area of this is          
          
P(z <   -0.6   ) =    0.274253118
          
Thus, the right tailed area is the complement,          
P(z >   -0.6   ) =    0.725746882 [ANSWER]

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C)

Using a table/technology, the left tailed area of this is          
          
P(z <   0.7   ) =    0.758036348 [ANSWER]

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D)

Using a table/technology, the left tailed area of this is          
          
P(z <   -1.3   ) =    0.096800485 [ANSWER]

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