LEC6

1- Some Discrete Probability Distributions:
A). Binomial Distributions.
B). Poisson Distributions.
2- Some Continuous Probability Distributions:
Normal Distribution.

Binomial Distributions:
This distribution derived from a process known as a Bernoulli trial.

Bernoulli trial:
Is defined as a single trial of some process or experiment can result in only one of two mutually exclusive outcomes, such as dead or alive, sick or well, male or female. A sequence of Bernoulli trials forms a Bernoulli process under the following conditions:
1- The experiment consists of n repeated trials.
2- Each trial results in one of two possible, mutually exclusive outcomes that may be classified as success or a failure.
3- The probability of success, denoted by P, and probability of failure, denoted by q= (1-p), remains constant from trial to trial.
4- The repeated trials are independent.

Note: The binomial distribution is said to have two parameters, n and p.
The probability of successes in n independent trials, is give by