1. Binomial Distribution
Finite 9-4

2. Binomial Distribution
We dealt with binomial probabilities in chapter 8
P(x) = • px • qn-x
n !
(n – x )!x!
Number of
outcomes with exactly x successes among n trials
The probability of x successes among n trials for any one particular order
Binomial Distribution

3. Binomial Distribution
Just like you now can complete the normal distribution with a Chrome book, you can also do the same with a binomial function, Bernoulli Trials.
Binomial Distribution

4. Binomial Distribution
BINOMDIST(num_successes, num_trials, prob_success, cumulative)
Binomial Distribution

5. Binomial Distribution
Example one in the book makes a probability distribution function from flipping a coin 15 times. This also can be accomplished with Google Sheets.
N and p are both 0.5
Binomial Distribution

6. Binomial Distribution

7. Binomial Distribution
BINOMDIST(num_successes, num_trials, prob_success, cumulative)
FALSE was used in example one, but if we wanted to know all up to a point then
We could use TRUE to sum up the numbers to that point.
Binomial Distribution

8. Binomial Distribution
Your textbook uses the normal curve to approximate that binomial distribution
With Google Sheets, we do not need to do that, so sometimes our answers will differ a little (more accurately) than the books answers.
Binomial Distribution

9. Binomial Distribution
100 drivers in Atlanta are checked. 40% of the drivers exceed the speed by at least 20 mph.
What is the probability that at least 50 drivers exceed the speed limit
Binomial Distribution

10. Binomial Distribution
100 drivers in Atlanta are checked. 40% of the drivers exceed the speed by at least 20 mph.
What is the probability that at least 50 drivers exceed the speed limit
There is a 2.7% chance of finding 50 or more drivers going more than 20 mph over the speed limit
49 used so 50 would be in the range calculated
Binomial Distribution

11. Binomial Distribution
100 drivers in Atlanta are checked. 40% of the drivers exceed the speed by at least 20 mph.
What is the probability of finding between 42 and 48 speeders in a random sample of 100?
Binomial Distribution

12. Binomial Distribution
100 drivers in Atlanta are checked. 40% of the drivers exceed the speed by at least 20 mph.
What is the probability of finding between 42 and 48 speeders in a random sample of 100?
There is a 33.5% chance of finding between 42 and 48 drivers going more than 20 mph over the speed limit
Binomial Distribution

13. Pages 443 – 444
3 – 29 odd, 33
Homework