1. Find the area under the standard normal curve $(\mu=0, \sigma=1)$ (a) outside the interval $(-1,+1)$, (b) between -0.5 and +0.5 . (c) to the right of 1.8 .

Step 1 ：Define the standard normal curve with mean \(\mu=0\) and standard deviation \(\sigma=1\). The total area under this curve is 1, representing the total probability.

Step 2 ：For part (a), we need to find the area outside the interval \(-1, +1\). This is equivalent to finding the probability that a standard normal random variable is less than -1 or greater than 1.

Step 3 ：For part (b), we need to find the area between -0.5 and +0.5. This is equivalent to finding the probability that a standard normal random variable falls between -0.5 and 0.5.

Step 4 ：For part (c), we need to find the area to the right of 1.8. This is equivalent to finding the probability that a standard normal random variable is greater than 1.8.

Step 5 ：Calculate the areas for each part: \(area_a = 0.31731050786291415\), \(area_b = 0.38292492254802624\), \(area_c = 0.03593031911292577\).

Step 6 ：Final Answer: (a) The area under the standard normal curve outside the interval \(-1,+1\) is approximately \(\boxed{0.3173}\). (b) The area under the standard normal curve between -0.5 and +0.5 is approximately \(\boxed{0.3829}\). (c) The area under the standard normal curve to the right of 1.8 is approximately \(\boxed{0.0359}\).