Explain each part using the pigeon hole principle 1) There are 168 students currently registered in...
Explain each part using the pigeon hole principle
1) There are 168 students currently registered in CPS420. This final exam is graded out of 80. For the purposes of this question you can assume that all the marks are integers.
a) What is the least number of final exams that will need to be graded to guarantee that at least 2 students in this class have the same grade in this final exam? Explain your answer.
b) You want to make a bet that there will be a group of at least x CPS420 students who will all have the same grade on this exam. How large can you make x and still be guaranteed to win your bet? Explain your answer.
Homework Answers
ANSWER:
For this example, 98.8% of initial and 96.9% of one year later.
The difference in these two proportions is 98.8% - 96.9% = 1.9% and the 95% CI for this difference is (0.79% , 3.15%).
We are 95% confident that drop in proportion after one year will be between ( 0.79% and 3.15% ).
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Explain each part using the pigeon hole principle
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