Download A Bernoulli trials is an experiment with two outcomes, success and

Math 3 A Block 1.12.15
January 12, 2015
Objective: Identify Bernoulli trials and
compute related statistics
A Bernoulli trials is an experiment with two
outcomes, success and failure.
Examples:
Math 3 A Block 1.12.15
January 12, 2015
If the probability of success of a Bernoulli trial
is p, what is the probability of failure?
Examples:
Consider a Bernoulli trial with probability of
success p=0.2. In three trials, what is the
probability of exactly two successes?
Math 3 A Block 1.12.15
January 12, 2015
When rolling a fair number cube, what is the
probability of getting exactly 4 ones on 5
rolls?
Math 3 A Block 1.12.15
January 12, 2015
Which is more likely, getting 4 ones on
5 rolls, or getting exactly 5 ones on 30
rolls?
Consider another Bernoulli trial with probability
of success p=0.2. Find the probability that
there will be at least one success in three
trials.
Math 3 A Block 1.12.15
January 12, 2015
Calculate the mean and variance for a single
trial of a Bernoulli trial with a probability of
success of p.
Calculate the mean and variance for n trials of a
Bernoulli trial with a probability of success of p.
Math 3 A Block 1.12.15
January 12, 2015
Math 3 A Block 1.12.15
January 12, 2015
Z-Score
A z-score is the number of standard
deviations away from the mean.
Calculate the z-score for the last example.
Homework:
p.250-251 #1a, 2a, 3, 4abc, 6, 10-12, 15