NOTE: Free essay sample provided on this page should be used for references or sample purposes only. The sample essay is available to anyone, so any direct quoting without mentioning the source will be considered plagiarism by schools, colleges and universities that use plagiarism detection software. To get a completely brand-new, plagiarism-free essay, please use our essay writing service.
One click instant price quote
There are three types of Bugs in this investigation: Happy Bug Sad Bug Blank Bug Each bug splits into two to make new bugs. These are the splitting rules: Sad Bug Happy Bug Blank Bug Happy Bug Sad Bug Happy Bug Happy Bug Blank Bug Sad Bug All the bugs live the same length of time. Bugs die when they split. The different generations can be shown as follows: In order to be able to expand the generations into the 4 th and 5 th, I will simplify the bugs into letters.
An H symbolizes a Happy Bug An S symbolizes a Sad Bug A B symbolizes a Blank Bug. I have discovered that from the 4 th and 5 th generations onward, the pattern continues as shown below. These generations are shown in full in the appendix. My results can be shown in a table such as the one below, which gives the numbers of different bug types in successive generations: GENERATIONHAPPYSADBLANKTOTAL 11001 20112 33104 42338 595216 From the table, I can see that the number of Happy Bugs in a given generation is twice the number of Sad's added to the number of Blanks, both from the previous generation.
This is because each Sad in the previous generation turns into two Happy's (so it the Sad's times two) and each Blank in the previous generation splits to produce one Happy (so this is the same number as the Blanks). The same can be performed on the Sad Bugs i. e. the number of Sad's in a given generation is equal to the number of Happy's plus Blanks in the previous generation. Doing the same for Blank Bugs shows that the following equations can be applied (from below Where H 2 = Happy's in a generation H 1 = Happy's in the generation before and so on. From the table above, I can work out the probabilities of picking a given type of bug from a specified generation.
This is the same as the proportion of that bug occurring within the generation.
Free research essays on topics related to: bug, bugs, blank, sad, generations
Research essay sample on Bug Sad Bug Bug Blank Bug Generation
