6.3 – Additional Properties of the Binomial Distribution
Graphing a Binomial Distribution
How to graph a binomial distribution:1. Place r values on the horizontal axis.2. Place P(r) values on the vertical axis.3. Construct a bar over each r value extending
from r - 0.5 to r + 0.5. The height of the corresponding bar is P(r).
Example
• Rachel enjoys playing basketball. She makes about 80% of her free throws each game. Make a histogram showing the probability that Rachel will make 0, 1, 2, 3, 4, 5 free throws out of 5 attempts in tonight's game.
Mean and Standard Deviation of a Binomial Distribution
How to compute µ and ơ for a binomial distribution.
µ = np is the expected number of successes for the random variable r
ơ = is the standard deviation for the random variable r
where:• r is a random variable representing the number of successes in a
binomial distribution,• n is the number of trials,• p is the probability of success on a single trial,• q = 1 - p is the probability of failure on a single trial
Guided Exercise #7
• As whole group, turn to page 233– Cover answers
– Whole group clarification
Checkpoint
Make a histogram for a Binomial Distribution
Compute mean and standard deviation for a Binomial Distribution.
Homework
• Read Pages 230-234– Take notes on what we have not covered
• Do Problems – Page 234-236 (1-10) odds
• Check odds in back of book
• Get Ready for Test• Chapter Review Problems– Notes/vocab