Download 7.2PS - Mike

9 out of 11 men love rugby.
What is the chance that if you pick 5 men exactly 2 will love
rugby?
7.2 Binomial Distribution
Key Q-How do you find the
probability of an event using the
binomial distribution?
Rules
1. Must have a certain number of trials.
2. Can only focus on two outcomes.(Success or Failure)
3. Must be independent events.
Formula
c

p

q
n r
r
n = total number of trials
r = Number of successes
p = Probability of a success
q = Probability of a failure
n r
23% of light bulbs in a shipment are broke
for each shipment. If a shipment has 50
light bulbs what is the chance that exactly
21 are broke?
ck  p  q
k
n
n k
23% of light bulbs in a shipment are
broke for each shipment. If a shipment
has 200 light bulbs what is the chance
that exactly 40 are broke?
cr  p  q
r
n
n r
On Dollar Dog Day there is a 84% chance that a
person eats hot dogs. If you are with 8 people
what is the chance that at least 6 of you will eat
hot dogs that day?
There is a 30% chance that 11th graders will sign
up for Probability and Statistics for their senior
year. If the 11th grade class has 314 kids in it,
what is the chance between 90 and 95 11th
grades signed up for Probability and Statistics?
There is a 15% chance that a person will
slip while taking a shower. Of the 30 people
that live on your block that do shower, what
is the chance at least 3 slip?