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About the Class
Session: Binomial, Poisson and Normal
1. Types of Variable in Probability
2. What is Discrete variable? Example
3. What is Continuous variable? Example
4. Probability Distribution
5. Theoretical Probability Distribution
6. Discrete Theoretical Probability Distribution
7. Continuous Theoretical Probability Distribution
8. Examples
9. Probability Mass Function
10. Probability Density Function
11. Binomial Distribution
12. Mean and SD of Binomial Distribution
13. Problem: Eight coins are tossed. What is the probability of obtaining (a) 6 heads, (b) at least 6 heads, (c) at most 6 heads
14. Poisson Distribution
15. Mean and SD of Poisson Distribution
16. If 5% of the electric bulbs manufactured by a company are defective. Use Poisson distribution to find out the probability that in a sample of 100 bulbs (i) None is defective, (ii) 5 bulbs will be defective. Given exp(-5)=0.007
17. Probability density function of Normal distribution
18. Properties of Normal distribution
19. Formula of standard Normal Variable
20. Probability density function of Standard normal variable
21. Standard normal distribution curve
22. Area inside standard normal distribution curve
23. Reading the Standard normal distribution table,
24. Find area under standard normal distribution table.
25. If Mean=40 and SD=10, find out P(x is less than 20), P(x is more than 60), P(x is between 30 and 60) using standard normal distribution table.
26. Application: As a result of test on electric light bulbs, it was found that the lifetime of particular make was distributed normally with average life of 1000 burning hours and standard deviation of 200 hours. Out of 10000 bulbs produced by the company how many bulbs are expected to fail (i) in the first 800 burning hours, (ii) between 800 and 1200 burning hours, (iii) more than 1200 burning hours?
Language of instruction:
English
Keywords: probability, statistics, theoritical distribution, binomial distribution, poisson distribution, normal distribution
