Note: There are total 3 questions. Thu point of a question is given in the parenthesis.

Note: There are total 3 questions. Thu point of a question is given in the parenthesis.

Name:____________________ ID:__________________ Major:_________________

• , where n=50+ sum of your 9 digit ID number (201975076) and p=0.1*6 Using R, report the graph of your own distribution. (6pt.)
• (9pt)
• A sample of size 15 are randomly drawn from a population with the pdf of:

• Using R, calculate the exact probability of .
• Using the theorem above, derive the approximation probability of .
• Based upon your answer in (b), use the continuity correction and derive the approximated value in (b).

DeMoivre-Laplace 정의:

The sample mean from the sample is given as follows; . Find. (5pt.) (Hint: Use the Central Limit Theorem.)