Binomial distribution Flashcards
1
Q
what is Binomial ?
B (n,p)
A
the number of successes out of n trials, each with a probanility of p success
2
Q
What is a binomial probability distribution?
A
Binomial coefficients are used to determine the probability of an event happening
3
Q
What are the conditions required for probability being able to be calculated using binomial distribution?
A
- F ixed number of (n) trials
- Independnat outcomes
- C onstant probability of success (p)
- T wo outcomes : success & failure
4
Q
How is a random variable X who’s outcome is the number of successes by being distributed Binomially?
A
5
Q
A
6
Q
A
7
Q
A
8
Q
A
9
Q
A
10
Q
A
11
Q
what is the expected value and variance of binomial distribution?
A
- E (x) = np
- Var (x) = npq , where q is the probability of failure (1-p)
12
Q
What is the proof for the Expected Value formula of Binomial distribution?
A
13
Q
Summarise all of the means and variance of the 5 types of distributions
A
14
Q
What is the proof for the variance of binomial distribution?
A
