Help with Statistics

Question

Could someone assist me with this please I'm completely lost

 

Provide an example of what differentiates a “Probability” from a “Probability Distribution”. In this example identify both the probability and the probability distribution. Secondly, Suppose we want to determine the (binomial) probability (p) of getting 6 heads in 12 flips of a 2-sided coin.

Using the binomial table in the appendix of the text, what values of n, x, and p would we use to look up this probability, and

 

what would be the probability?

Answer 1

Lewis,

 

The binomial distribution talks about an event happening n times with probability of success (in this case getting heads) being p. You want to find the probability of getting X successes. In this case, p=1/2 (ideally unbiased coin), n=12, and X=6. The catch here is that most tables don't go up to n=12. But if yours does, match up n=12 on the left, p=.5 on top, and choose the row with X=6. Hope that helps!