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Answer :
The probability of Z being greater than -1.57 is 3) 0.9418. Therefore the correct option is 3) 0.9418.
To find the probability of Z being greater than -1.57, we use the standard normal distribution table.
1. We first find the area to the left of -1.57 in the standard normal distribution table.
2. The value in the table corresponding to -1.57 is 0.0582.
3. Since we want the probability of Z being greater than -1.57, we subtract this value from 1 to find the area to the right.
P(Z > -1.57) = 1 - 0.0582 = 0.9418
Therefore, the probability of Z being greater than -1.57 is 0.9418. Therefore the correct option is 3) 0.9418.
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