(3) Suppose a random variable Z follows the standard normal distribution. We know the standard normal curve is defined by o(z) = 12e Le z /2. Also, &(z) = S $(t) dt. (a) [2pts] What is the 95th percentile and the 99th percentile of the standard normal curve? Write your answer up to the third decimal place. ( You may use Python with 'stats. norm.ppf' function in 'SciPy' package.) (b) [3pts] Find three constants c1, C2, and C3, such that: (i) P(Z C2) = 0.02. (iii) P(10Z > C3) = 0.01