MGT 601: Statistical Inference Lecture 03 Dr. MUMTAZ AHMED Objectives of Current Lecture In the current lecture: Introduction to Probability Definition and Basic concepts of probability Some basic questions related to probability Laws of probability Conditional probability Independent and Dependent Events Related Examples 2 Probability Probability (or likelihood) is a measure or estimation of how likely it is that something will happen or that a statement is true. For example
Premium Probability theory
Chapter 3 Probability True/False 1. A contingency table is a tabular summary of probabilities concerning two sets of complementary events. Answer: True Difficulty: Medium 2. An event is a collection of sample space outcomes. Answer: True Difficulty: Easy 3. Two events are independent if the probability of one event is influenced by whether or not the other event occurs. Answer: False Difficulty: Medium 4. Mutually exclusive events have a nonempty
Premium Probability theory Decision theory Scientific method
[pic] TITILE : THEORY OF PROBABILITY NAME : KYRIOS JOYCE ERDAYA RAJOO IC NO : 930603-10-5700 CLASS : 5 MULIA TEACHER : MRS.MALLIKA a) History of Probability The scientific study of probability is a modern development. Gambling shows that there has been an interest in quantifying the ideas of probability for millennia‚ but exact mathematical
Premium Probability theory
Introduction: The purpose of this lab is to apply Mendel’s laws to predict the probability of the occurrence of a single event‚ of two independent events and of certain traits in offspring of parents exhibiting traits. Gregor Mendel was an Austrian monk in 1866‚ who studied how traits were passed using pea plants. From his studies of inheritance‚ he created three laws of inheritance: the law of dominance‚ the law of segregation‚ and the law of independent assortment. He called genes ‘’factors’’
Premium Genetics Gregor Mendel Charles Darwin
1) Describe two main differences between classical and empirical probabilities. a. Classical probabilities are based on assumptions; Empirical probabilities are based on observations. b. Classical probabilities do not require an action to take place; Empirical probabilities have to have been “performed”. 2) Gather 16 to 30 coins. Shake and empty bag of coins 10 times and tally up how many head and tails are showing. Number of coins: 20 * Consider the first toss‚ what is the
Premium Probability theory Quantum mechanics Scientific method
probability questions : 1. A real estate office has been averaging 1.8 sales per day for the past several months. What is the probability that the office will make 4 sales today? .0723 2. A washing machine in a Laundromat breaks down an average of two times per month. What is the probability that the machine will break down more than 28 times in the next year? .1775 3. Flaws occur randomly in a particular fabric with a mean rate of occurance of 1.5 every 5 sqare yards. If you purchase 20 square
Premium
The Poisson probability distribution‚ named after the French mathematician Siméon-Denis. Poisson is another important probability distribution of a discrete random variable that has a large number of applications. Suppose a washing machine in a Laundromat breaks down an average of three times a month. We may want to find the probability of exactly two breakdowns during the next month. This is an example of a Poisson probability distribution problem. Each breakdown is called an occurrence in Poisson
Premium Random variable Probability theory
UNIVERSITI UTARA MALAYSIA COLLEGE OF ARTS AND SCIENCES COURSE CODE : SQQP 5023 COURSE NAME : DECISION ANALYSIS LECTURER : DR. SYARIZA ABDUL RAHMAN email: syariza@uum.edu.my tel: 04 – 9286975/ 016-4127923 1. COURSE SYNOPSIS Mathematical tools have been applied for thousands of years; however‚ the formal study and application of quantitative techniques to practical decision making is largely a product of the twentieth century. Decision analysis refers
Premium Operations research Decision theory Scientific method
#1 True or false: Even if the sample size is more than 1000‚ we cannot always use the normal approximation to binomial. Solution: If a sample is n>30‚ we can say that sample size is sufficiently large to assume normal approximation to binomial curve. Hence the statement is false. #2 A salesperson goes door-to-door in a residential area to demonstrate the use of a new Household appliance to potential customers. She has found from her years of experience that after demonstration‚ the
Premium Sales Binomial distribution
Probability Distribution Essay Example Suppose you flip a coin two times. This simple statistical experiment can have four possible outcomes: HH‚ HT‚ TH‚ and TT. Now‚ let the random variable X represent the number of Heads that result from this experiment. The random variable X can only take on the values 0‚ 1‚ or 2‚ so it is a discrete random variable Binomial Probability Function: it is a discrete distribution. The distribution is done when the results are not ranged along a wide range‚ but are
Premium Random variable Probability theory