Lesson 3 notes

Lesson 3 notes

Ravshan

Binomial distribution

"Bi" means "two" (like a bicycle has two wheels) ...

... so this is about things with two results.

Binomial distribution determines the probability of observing a specified number of successful outcomes in a specified number of trials.
The binomial distribution is used to obtain the probability of observing x successes in N trials, with the probability of success on a single trial denoted by p. The binomial distribution assumes that p is fixed for all trials.

We have a binomial experiment if ALL of the following four conditions are satisfied:

  1. The experiment consists of n identical trials.
  2. Each trial results in one of the two outcomes, called success and failure.
  3. The probability of success, denoted p, remains the same from trial to trial.
  4. The n trials are independent.
Try solving the question yourself and watch the following video for explanations
Try solving the question yourself and watch the following video for explanations
Binomial distribution boyicha namunalar. video o'zbek tilida


try to solve the problems yourself and watch the following video if you find it difficult
try to solve the problems yourself and watch the following video if you find it difficult


A footballer scores in 80% of penalty shoots. What is the probability that he score 3 of the next 5 shots?
The drug is useful for 70% of patients. What is the probability that 2 of the next 3 patients will be cured?
b) what is the probabilty that none of patients will be cured?
10% of the products are defective. What is the probability that the quality control inspector finds 1 defective products if he checks 4?

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