Question 622066
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
If the random variable z is the standard normal score and P(z > a) > 0.5, then a > 0.
Note: when z > 0, then P(z) > .50 (Area under the standard normal curve to the {{{left}}} of the z- value >50%
 P(z > a) > .50, then a < 0, so as the Area to the right would be > .50

Here is the standard normal curve. z=values of 0,±1, ±2,±3 shown
for ex: 50% of the area under the normal curve is to the left and right of z=0
one  standard deviation from the mean(z= ±1)  accounts for about 68.2% of the set 
two standard deviations from the mean(z= ±2) account for about 95.4%
and three standard deviations from the mean(z= ±2) account for about 99.7%.

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