Discuss the below:
Q1: A candy maker produces mints that have a label weight of 20.4 grams. Assume that the distribution of the weights of these mints is N(21.37, 0.16). a) Let X denote the weight of a single mint selected at random from the production line. Find P(X > 22.07). b) Suppose that 15 mints are selected independently and weighed. Let Y equal the number of these mints that weigh less than 20.857 grams. Find P(Y <= 2).
Q2: If 15 observations are taken independently from a chi-square distribution with four degrees of free-dom, find the probability that at most 3 of the 15 observations exceed 7.779. 3.5-16.
Q3: If 10 observations are taken independently from a chi-square distribution with 19 degrees of free-dom, find the probability that exactly 2 of the 10 samole items exceed 30.14.