Answer :
The probability that Z is greater than -1.57 is found by subtracting the area to the left of Z = -1.57 from 1, which equals 0.9418. The correct option is 3.
The question is asking to find the probability that a standard normal variable Z is greater than -1.57. To calculate this, we can look up the area to the left of Z = -1.57 in the Z-table or use a statistical software. The area to the left of Z is the probability that Z is less than -1.57. Then, to find the probability that Z is greater than -1.57, we subtract the area to the left from 1 (the total probability).
Using a Z-table or statistical software, we find that the area to the left of Z = -1.57 is approximately 0.0582. Therefore, the probability that Z is greater than -1.57 is 1 - 0.0582, which equals 0.9418. So, the correct answer is 0.9418. The correct option is 3.
