Acandy 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).

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?