Posted by **Anonymous** on Monday, February 28, 2011 at 6:40am.

Susan is taking Western Civilization this semester on a pass/fail basis. The department teaching the course has a history of passing 77% of the students in Western Civilization each term. Let represent the number of times a student takes Western Civilization until the first passing grade is received? (Assume the trials are independent.) a. Write out a formula for the probability distribution of the random variable.

- statistics -
**Jeremiah**, Friday, March 2, 2012 at 4:38pm
P(n) = p(1-p)^(n-1), where p is the probability of success in each trial, and n is the number of trials.

- statistics -
**Jeremiah**, Friday, March 2, 2012 at 4:43pm
Therefore, how to solve this problem is simple. If you have noticed, the question says, "Let represent the number of times a student takes Western Civilization until the first passing grade is received." The variable that is supposed to go in between the words 'Let' and 'represent' is n.

The problem does not give us the value of n, so we will make one up for the sake of using the formula correctly.

Assume, therefore, that n = 1, it takes the student only one try to pass Western Civilization.

P is automatically assigned a value, which would be .77.

So, using the formula, substituting the values becomes easy.

P(1) = .77(1-.77)^(1-1)

P(1) = .77 or 77%

## Answer this Question

## Related Questions

- History (Western Civilization) - Explain the importance of the Hebrews to the ...
- History - What is western civilization? That usually refers to the civilization ...
- History (Western Society) - Explain the importance of the Hebrews to the ...
- global....help - which ancient civilization established the basis of western ...
- Western Civilization/ Social Science - How has the two world wars, The Cold War ...
- history - A thesis for: A new civilization emerges in western Europe
- Humanities/Western Civilization - Why are the 14th and 15th centuries often ...
- History (Western Civilization) - What are the famous developments of Pericles ...
- Western Civilization - Summarize the issues that divided Martin Luther from the ...
- history 103 - The voyages of Zheng He reveal a powerful, accomplished, and ...