Question

The expression P(z > –1.53) represents the area under the standard normal curve above a given value of z. Find P(z > –1.53).

Answer 1

We can only look up the value in the normal distribution table if the probability of z is LESS than a certain value AND the value is positive.
If the probability of z is MORE than the value, then you need to do 1 minus the probability.
I.e. 1 - 0.93699
[0.93699 is found in the normal distribution table, searching for 1.53]
However, since the value (-1.53) is also negative, you need to do 1 minus AGAIN. 
I.e. 1 - 0.93699

Since you have to do both, the answer should be obtained as follows:
1 - (1 - 0.93699) = 0.93699

Sorry for the terrible explanation :/ 
And apologies if anything is incorrect. Hope this helped though!

Answer 2

The value of P(z > –1.53) that represents the area under the standard normal curve above a given value of z is; 0.93699

What is the area under the standard normal curve?

We are told that P(z > –1.53) represents the area under the standard normal curve above a given value of z.

Look at the normal distribution table, we see that;

P(z ≤ -1.53) = 0.06301

Thus;

P(z > –1.53)  = 1 -  P(z ≤ -1.53)

P(z > –1.53)  = 1 - 0.06301

P(z > –1.53)  = 0.93699

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