Download Module 17: Binomial Distributions Binomial Experiment: Binomial

Module 17: Binomial Distributions
Binomial Experiment:
Binomial Experiment Conditions:
1.
2.
3.
4.
Notation for Binomial Experiments:
n
P
q
x
Determine whether the following experiments are binomial experiments. If it is a binomial
experiment, then determine n, p, q and x.
75% of married couples paid for their honeymoon themselves. You randomly select 8 married
couples and ask them if they paid for their honeymoon themselves. The random variable
represents the number of couples that did pay for their honeymoon.
35% of High School students have had an online course experience. You surveyed 5 students to
see how many online classes they have taken. The random variable represents the number of
online courses they have taken.
YOU TRY: Lilly is testing a pain reliever to determine if it is effective. They have found that the
medication is effective for 68% people. You survey 10 people to see if the medication worked
for them. The random variable represents the number of people that found success with the
medication.
Binomial Probability
You are taking a multiple-choice quiz that consists of five questions. Each question has four
possible answers, only one of with is correct. To complete the quiz, you randomly guess the
answer to each question.
a. Find the probability of guessing exactly three answers correctly.
b. Let’s construct a Binomial Distribution
c. Find the probability of guessing 3 or less questions correctly.
d. Find the probability of guessing 3 or more questions correctly.
Now it’s your turn to try!
Ten percent of adults say oatmeal raisin is their favorite cookie. You randomly select 12 adults
and ask them to name their favorite cookie. Find the probability that the number who say
oatmeal raisin is their favorite cookie is…
A. Exactly 4
B. Less than four
C. At least 3
Graphing Binomial Distributions
You are taking a multiple-choice quiz that consists of five questions. Each question has four
possible answers, only one of with is correct. To complete the quiz, you randomly guess the
answer to each question.
Interpretation:
Population Parameters of a Binomial Distribution
Mean
Standard Deviation
Find the Mean and Standard Deviation of our multiple choice problem and then interpret the
results.
Mean:
Standard Deviation:
Interpretation:
You Try:
According to police sources, a car with a certain protection system will be recovered 94% of the
time. If 400 stolen cars are randomly selected, what is the mean and standard deviation of the
number of cars recovered after being stolen? Interpret your results.
Mean:
Standard Deviation:
Interpretation: