Definition
of Independent - pg. 144
Practice - pg. 151
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TWO-NESS - BINOMIAL Experiment
1) Fixed number of trials
2) Trials are each Independent
3) Each trial has 2 possible outcomes
4) Probabilities
are constant for each trial
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#4
#5
#8
Example: Heart Association claims that only 10% of adults over 30 in the U.S. can pass minimum requirements established by Pres. Physical Fitness Commission. If 4 adults are randomly selected and given the fitness tests. Is this a binomial experiment?
Terminology
s - success and
f - failure
P(s) = p success on one trial
P(f) = 1 - p = q failure on one trial
n - number of trials
x - number of successes
P(x) = probability of EXACTLY successes in trials
Binomial Formula
Text Version:
Do some examples from heart association
above.
Complete a Probability Distribution
Table for heart association.
We'll use calculator (Directions pg. 201, or Companion ps 44,45)
Practice:
#14
#16
Using table given in text
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#20
#22 good with several parts
#24
Definitely #26
Analyze #28
Set up only #30
#32
Additional Examples
A survey found that 30% of teenagers received their spending
money from part-time jobs. If 5 teenagers are selected at random,
find the probability that at least 3 of them will have part-time jobs.
In random guesses, on 5 question multiple choice, what
is the probability of getting EXACTLY 3 correct if each question has 4
multiple choices.
In a large office building, probability of a defective
phone is 0.05. If a sample of 20 are selected, find the probability
a) Exactly 5 are defective
b) at most 3 are defective
c) At least 3 are defective
10 Question True False, probability pass if random guesses.
10 - Questions - Sometimes/Always/Never - Probability
pass if random guess.
10 - Questions - multiple choice of 5, probability pass.
What if # questions increases?
20 Questions - Probability Pass - P(X>12)