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