PROBABILITY AND STATISTICS

Slides:

Advertisements

Similar presentations

Another Random Variable

Advertisements

Discrete Distribution Review. The following table shows the number of people in families and the probability. What is the probability of a family of 6?

Clear your desk for your quiz. Unit 2 Day 8 Expected Value Average expectation per game if the game is played many times Can be used to evaluate and.

Statistics Lecture 11.

Problem 1 The following facts are known regarding two events A and B: Pr(A∩B) = 0.2,Pr(AUB) = 0.6,Pr(A | B) = 0.5 Find the following: (i)Pr (A) (ii)Pr.

Assignment 2 Due 16 December 2009, Wednesday Please hand in to the Resources Office.

Discrete Random Variables and Probability Distributions

Binomial Distributions. Binomial Experiments Have a fixed number of trials Each trial has tow possible outcomes The trials are independent The probability.

Active Learning Lecture Slides For use with Classroom Response Systems Probability Distributions.

Distributions and properties 1. Sampling Distributions In modern SPC, we concentrate on the process and use sampling to tell us about the current state.

Binomial Distributions

Copyright © Cengage Learning. All rights reserved. 3.5 Hypergeometric and Negative Binomial Distributions.

Probability Distribution

Chapter 17 Probability Models math2200. I don’t care about my [free throw shooting] percentages. I keep telling everyone that I make them when they count.

5-1 Business Statistics: A Decision-Making Approach 8 th Edition Chapter 5 Discrete Probability Distributions.

Chapter 11 Data Descriptions and Probability Distributions

Chapter 8 Binomial and Geometric Distributions

Probabilistic and Statistical Techniques 1 Lecture 19 Eng. Ismail Zakaria El Daour 2010.

Geometric Distribution. Similar to Binomial Similar to Binomial Success/FailureSuccess/Failure Probabilities do NOT changeProbabilities do NOT change.

PROBABILITY DISTRIBUTIONS

Probability Distributions

Chapter 8: Binomial and Geometric Distributions. Binomial vs. Geometric The Binomial Setting The Geometric Setting 1.Each observation falls into one of.

Sampling Distribution WELCOME to INFERENTIAL STATISTICS.

PROBABILITY AND STATISTICS

PROBABILITY AND STATISTICS WEEK 4 Onur Doğan. Random Variable Random Variable. Let S be the sample space for an experiment. A real-valued function that.

Onur DOĞAN.  A small life insurance company has determined that on the average it receives 3 death claims per day. Find the probability that the company.

DISCRETE PROBABILITY MODELS

Chapter 4. Random Variables - 3

MA305 Binomial Distribution and Poisson Distribution By: Prof. Nutan Patel Asst. Professor in Mathematics IT-NU A-203 patelnutan.wordpress.com MA305 Mathematics.

PROBABILITY AND STATISTICS WEEK 5 Onur Doğan. The Binomial Probability Distribution There are many experiments that conform either exactly or approximately.

The Poisson Distribution. The Poisson Distribution may be used as an approximation for a binomial distribution when n is large and p is small enough that.

Copyright © Cengage Learning. All rights reserved. 3 Discrete Random Variables and Probability Distributions.

Homework #4 Solution Daily amount of raining in winter at Gaza is by ml cube, A random variable X have a continuous uniform distribution with A = 100 ml.

Part 2: Named Discrete Random Variables

Binomial Distributions

Chapter 3 Applied Statistics and Probability for Engineers

Discrete Random Variables

The binomial probability distribution

The hypergeometric and negative binomial distributions

Discrete Random Variables and Probability Distributions

Math 4030 – 4a More Discrete Distributions

Lesson 98 – Poisson Distribution

Example Suppose that a deck of 52 cards containing four aces is shuffled thoroughly and the cards are then distributed among four players so that each.

Discrete Probability Distributions

Discrete Probability Distributions

Samples and Populations

Chapter 6 Binomial and Geometric Random Variables

Virtual University of Pakistan

1) A company employs over 5000 workers of whom 20% are Hispanic

Week 8 Chapter 14. Random Variables.

Chapter 4 Review Questions Continuous or Discrete?

PROBABILITY AND STATISTICS

Chapter 4 Discrete Random Variables and Probability Distributions

Probability distributions

DISCRETE RANDOM VARIABLES AND THEIR PROBABILITY DISTRIBUTIONS

Distributions and expected value

Chapter 17 – Probability Models

Business Statistics, 5th ed. by Ken Black

Warm Up Imagine a family has three children. 1) What is the probability the family has: 3 girls and 0 boys 2 girls and 1 boy 1 girl and 2 boys 0 girls.

DISCRETE RANDOM VARIABLES AND THEIR PROBABILITY DISTRIBUTIONS

Warm Up Industrial quality control programs often inspect a small sample of incoming parts. If any parts in the sample are found to be defective, the shipment.

Elementary Statistics

Theorem 5.3: The mean and the variance of the hypergeometric distribution h(x;N,n,K) are:  = 2 = Example 5.10: In Example 5.9, find the expected value.

Bernoulli Trials and The Binomial Distribution

Binomial Distributions

Hypergeometric Distribution

PROBABILITY AND STATISTICS

Binomial Distribution

Presentation transcript:

PROBABILITY AND STATISTICS WEEK 7 Onur Doğan 2016-2017

Quiz Q1 How many positive integer solutions are there to the equation x+y+z=12? Onur Doğan 2016-2017

Quiz Q2 After all students have left the classroom, a statistics professor notices that three bags were left under desks. At the beginning of the next lecture, the professor distributes the three bags in a completely random fashion to each of the three students who claim to have left bags. Let X denote the number of students who receive their own bag. Determine the pmf of X. Onur Doğan 2016-2017

Quiz Q3 The pmf for X=the number of major defects on a randomly selected appliance of a certain type is Calculate the E(X) and V(X). Onur Doğan 2016-2017

Quiz Q4 Customers are used to evaluate preliminary product designs. In the past, 95% of highly successful products, 60% of moderately successful products, and 10% of poor products received good reviews. In addition, 40% of product designs have been highly successful, 35% have been moderately successful, and 25% have been poor products. i.Find the probability that a product receives a good review. ii.What is the probability that a new design will be highly successful if it receives a good review? Onur Doğan 2016-2017

Binomial vs Hypergeometric Onur Doğan 2016-2017

Onur Doğan 2016-2017

Binomial vs Hypergeometric Onur Doğan 2016-2017

Example A basketball player has a free throw percentage of 70%. In a single game, the player shoots 6 free throws. Compute the following probabilities. i. What is the probability that she makes exactly 3? ii. What is the probability that she makes at least 5 successful throws? İii.What is the probability that she makes all 6? Onur Doğan 2016-2017

Example During a particular period a university’s information technology office received 20 service orders for problems with printers, of which 8 were laser printers and 12 were inkjet models. A sample of 5 of these service orders is to be selected for inclusion in a customer satisfaction survey. What’s the probability of 2 of the selected printers are inkjet models? Onur Doğan 2016-2017

Example Products produced by a machine has a 3% defective rate. i.What is the probability that the first defective occurs in the fifth item inspected? ii.What is the probability that the first defective occurs in the first five inspections? Onur Doğan 2016-2017

Example A team is currently winning 0,6 of their games. There are 5 games in November. What is the probability that the team will win more games than they lose? Onur Doğan 2016-2017

Example A person conducting telephone surveys must get 3 completed surveys before their job finished. There is 0,1 chance of reaching a person who will complete the survey. What is the probability the 3 completed survey occurs on the 10th call? Onur Doğan 2016-2017