Apost office has 2 clerks. alice enters the post office while 2 other customers, bob and claire, are being served by the 2 clerks. she is next in line. assume that the time a clerk spends serving a customer has the expo( ) distribution. what is the probability that alice is the last of the 3 customers to be done being served? unanswere

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?