1. Suppose Z follows a standard normal distribution (i.e. a normal dist Show more Using statistical tables: 1. Suppose Z follows a standard normal distribution (i.e. a normal distribution with mean 0 and variance 1). a.) What is the probability that Z is smaller than 1.02? b.) What is the probability that Z is greater than 0.65? c.) What is the probability that Z is between -2 and -0.5? d.) What is the probability that the interval [Z-1 Z+1] contains the value 0? e.) What is the probability that the interval [Z-1 Z+1] contains the value 2? f.) What is the probability that the interval [Z-1 Z+3] contains the value 2? g.) What is the probability that the interval [Z+1 Z+2] contains the value 2? h.) Suppose you want to construct an interval of the form [Z-h Z+h] that contains the value 0 with 90% probability. What value of h do you have to choose? i.) Suppose you want to construct an interval of the form [Z-h Z+h] that contains the value 0 with 80% probability. What value of h do you have to choose? Show less