2 fish size (in centimeters)
5
Aquarium 1
Aquarium 2
fish group
21) Jake set up an experiment. He set two aquariums with five fish of the same type and size. Aquarium one was very small, only one cubic
foot. Aquarium 2 was very large at 10 cubic feet. Each day the fish were fed the same amount of food and vitamins, at the end of 5 months
Jake measured the fish by length. His results are shown in the bar graph above.
What might be the question lake is asking in his experiment?
A) What fish food cost the most?
B) What fish food makes fish grow faster?
Does aquarium size affect growth rate of the fish?
What type of fish fooddo-fish-tie-the best?

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.