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How to find mean of probability distribution.
The Binomial Distribution
"Bi" means "two" (like a bicycle has two wheels) ... | |
Tossing a Coin:
- Did we get Heads (H) or
- Tails (T)
We say the probability of the coin landing H is ½
And the probability of the coin landing T is ½
Throwing a Die:
- Did we get a four ...
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- ... or not?
?
We say the probability of a four is 1/6 (one of the six faces is a four)
And the probability of not four is 5/6 (five of the six faces are not a four)
Note that a die has 6 sides but here we look at only two cases: "four: yes" or "four: no"
Let's Toss a Coin!
Toss a fair coin three times ...
what is the chance of getting exactly two Heads?
Using H for heads and T for Tails we may get any of these 8 outcomes:
Which outcomes do we want?
"Two Heads" could be in any order: "HHT", "THH" and "HTH" all have two Heads (and one Tail).
So 3 of the outcomes produce "Two Heads".
What is the probability of each outcome?
Each outcome is equally likely, and there are 8 of them, so each
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