Chapter 16: Probability Models

Question 1

Bernoulli Trials (Binomial)

Answer 1

1. Only two possible outcomes (binary): success/failure
2. Probability of success is the same on every trial and is denoted by p; probability of failure is denoted by q=1-p
3. Each trials of a random process is independent; Bernoulli trials are based on a single trial

Question 2

Binomial Distribution Conditions

Answer 2

Binary - success/fail
Independent trials
Number of trials is fixed (n)
Same probability of success (p)

Question 3

Binomial Random Variable

Answer 3

Random variable X = the number of successes in a binomial setting

Question 4

Binomial Distribution

Answer 4

The probability distribution of a binomial random variable X

Question 5

Binompdf By-Hand Formula

Answer 5

P(X=x) = nCxp^x(1-p)^(n-x)