2. Feeding Your Rat
A rat feeder is essentially a straw whose diameter is just large enough for 1
(medicine) pill or 1 (food) pellet, but is long enough to hold many pills and
pellets. The pill and pellets are put in at one of the feeder and come out the
other end (when the rat presses a pedal) in the same order they were put in.
Suppose we place 25 identical pellets and 4 identical pills uniforaly at random
into a rat feeder. The rat then comes and consumes one item I1 from the feeder
and then consumes another item T2 from the feeder.
1. Let A be the event "I1 is a pellet" and let B be the event II is a pill'.
2. that is Pr(AnB)?
3. What is Pr(AuB)?
4. Are the events A and B independent? In other words, is
Pr(AnB) = Pr(A)-Pr(B)? -
These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction
of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice.
Unethical use is strictly forbidden.