Many companies view their individual outcomes as
successes or failures. Repeated independent trials
measured in terms of such successes or failures are
Bernoulli trials.
If all trials are independent and have only two
possible outcomes, success or failure (only two
choices) the probability of success is the same for
every trial.
The outcome of one trial does not affect the outcome
of another.
A manufacturer says that one in 6 TVs is within 0.3%
of its normal level. A customer needs three of these
TVs. What is the probability of finding exactly three
TVs among the first 5 TVs tested?
The prob of x successes in n Bernoulli trials is
P(x) = nCxpxqn-x, where p is the prob of success on
any individual trial and q = 1-p is the probability of
failure.
The expectation for a success in any one trial is p.
The expectation for n independent trials is E(x) = np
*
*
Expectation in a Binomial Distribution
New license plates have four letters and three
numbers. Being a math teacher, I only wanted to
have numbers that were comprised of prime
numbers.
What is the prob. distribution of these numbers in my
license plate?
Remember that we are looking for the distribution, so
we need to account for all cases. Ie. If only 1 prime
#, 2 prime #s, no prime #s, etc..
Heading
Number of primes (x)
0
1
2
3
4
Probability P(x)
On Board!
A box of Smarties has different colours of candy in it.
There is a 40% chance of getting a blue Smartie.
What is the probability that at least 3 candies in a
given box are blue out of 10?
On Board!
What is the expected number of blue candies?
On Board!
Homework
pg 385 # 1abc, 2a, 3, 5, 8a