PPT-Chapter 4 Basic Probability and Probability Distributions

Probability Terminology Classical Interpretation Notion of probability based on equal likelihood of individual possibilities coin toss has 12 chance of Heads card draw has 452 chance of an Ace Origins in games of chance. AS91586 Apply probability distributions in solving problems. NZC level 8. Investigate situations that involve elements of chance. calculating and interpreting expected values and standard deviations of discrete random variables. Continuous distributions. Sample size 24. Guess the mean and standard deviation. Dot plot sample size 49. Draw the population distribution you expect. Sample size 93. Sample size 476. Sample size 948. A Brief Introduction. Random Variables. Random Variable (RV): A numeric outcome that results from an experiment. For each element of an experiment’s sample space, the random variable can take on exactly one value. How . can it be that mathematics, being after all a product of human thought independent of experience, is so admirably adapted to the objects . of reality. Albert Einstein. Some parts of these slides were prepared based on . How . can it be that mathematics, being after all a product of human thought independent of experience, is so admirably adapted to the objects . of reality. Albert Einstein. Some parts of these slides were prepared based on . Applied Statistics and Probability for Engineers. Sixth Edition. Douglas C. Montgomery George C. . Runger. Chapter 5 Title and Outline. 2. 5. Joint Probability Distributions. 5-1 Two or More Random Variables. How . can it be that mathematics, being after all a product of human thought independent of experience, is so admirably adapted to the objects . of reality. Albert Einstein. Some parts of these slides were prepared based on . John Hancock Financial Services. What Is An Actuary?. “Actuaries are highly sought-after professionals who develop and communicate solutions for complex financial issues.”. What Do Actuaries Do?. Section 5-3 – Normal Distributions: Finding Values. A. We have learned how to calculate the probability given an . x. -value or a . z. -score. . In this lesson, we will explore how to find an . More Practical Problems. Jiaping. Wang. Department of Mathematics. 04/24/2013, Wednesday. Problem 1. Suppose we know in a crab farm, 20% of crabs are male. If one day the owner catches . 400 crabs. , what is the chance that more than 25% of the 400 crabs are male?. Continuous Probability Distribution . (pdf) . Definition:. . b. P(a . . X.  . b) = .  . f(x). dx. . . a. For continuous RV X & a. .  b.. . 3.1 - Random Variables. 3.2 - Probability Distributions for Discrete. Random Variables . 3.3 - Expected Values. 3.4 - . The Binomial Probability Distribution. 3.5 - Hypergeometric and Negative. How . can it be that mathematics, being after all a product of human thought independent of experience, is so admirably adapted to the objects . of reality. Albert Einstein. Some parts of these slides were prepared based on . R Programming. By . Dr. Mohamed . Surputheen. probability distributions in R. Many statistical tools and techniques used in data analysis are based on probability. . Probability . measures how likely it is for an event to occur on a scale from 0 (the event never occurs) to 1 (the event always occurs). .