Answer all parts please

1. Consider a random sample X1, ..., X35 " N(u, ?) of 35 observations from a normal distribution with known mean / and known variance o2. (a) What is the probability that the first observation in the random sample is at least 3 standard deviations from the mean? (i.e., what is P(|X1 - #| 2 30)?) (3 pts) (b) What is the probability that at least one of the 35 observations is at least 3 standard deviations from the mean? (4 pts) (c) Let Y denote the number of observations from the random sample that are at least 3 standard deviations from the mean. What is the sampling distribution of Y? (4 pts)