Basic Probability Notes Probability— the relative frequency or likelihood that a specific event will occur. If the event is A‚ then the probability that A will occur is denoted P(A). Example: Flip a coin. What is the probability of heads? This is denoted P(heads). Properties of Probability 1. The probability of an event E always lies in the range of 0 to 1; i.e.‚ 0 ≤ P( E ) ≤ 1. Impossible event—an event that absolutely cannot occur; probability is zero. Example: Suppose you roll a normal die
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PROBABILITY and MENDELIAN GENETICS LAB Hypothesis: If we toss the coin(s) for many times‚ then we will have more chances to reach the prediction that we expect based on the principle of probability. Results: As for part 1: probability of the occurrence of a single event‚ the deviation of heads and tails of 20 tosses is zero‚ which means that the possibility of heads and tails is ten to ten‚ which means equally chances. The deviation of heads and tails of 30 tosses is 4‚ which means that the
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Technology & Science‚ Pilani Work-Integrated Learning Programmes Division Second Semester 2010-2011 Course Handout Course Number Course Title : AAOC ZC111 : Probability and Statistics Course E-mail address : aaoczc111@dlpd.bits-pilani.ac.in Course Description Probability spaces; conditional probability and independence; random variables and probability distributions; marginal and conditional distributions; independent random variables‚ mathematical exceptions‚ mean and variance‚ Binomial Poisson and normal
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University of Perpetual Help System Dalta Molino Campus Molino III‚ Bacoor City Probability and Statistics LAGERA‚ Einar John A. Table of Contents Simple Correlation Analysis ................................................................................................. 1 Introduction .................................................................................................................................................................. 1 What is Correlation? ...........
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Conditional Probability How to handle Dependent Events Life is full of random events! You need to get a "feel" for them to be a smart and successful person. Independent Events Events can be "Independent"‚ meaning each event is not affected by any other events. Example: Tossing a coin. Each toss of a coin is a perfect isolated thing. What it did in the past will not affect the current toss. The chance is simply 1-in-2‚ or 50%‚ just like ANY toss of the coin. So each toss is an Independent
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I. Probability Theory * A branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it occurs‚ but it may be any one of several possible outcomes. The actual outcome is considered to be determined by chance. * The word probability has several meanings in ordinary conversation. Two of these are particularly important for the development and applications of the mathematical theory of probability. One is the interpretation
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Probability distribution Definition with example: The total set of all the probabilities of a random variable to attain all the possible values. Let me give an example. We toss a coin 3 times and try to find what the probability of obtaining head is? Here the event of getting head is known as the random variable. Now what are the possible values of the random variable‚ i.e. what is the possible number of times that head might occur? It is 0 (head never occurs)‚ 1 (head occurs once out of 2 tosses)
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Date _________________________ Multiplication Rule of Probability - Independent Practice Worksheet Complete all the problems. 1. Holly is going to draw two cards from a standard deck without replacement. What is the probability that the first card is a king and the second card is an ace? 2. Thomas has a box with 4 black color bottles and 8 gray color bottles. Two bottles are drawn without replacement from the box. What is the probability that both of the bottles are gray? 3. A jar contains
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respondent is selected at random‚ what is the probability that he or she a. prefers to order at the drive-through? b. is a male and prefers to order at the drive-through? c. is a male or prefers to order at the drive-through? d. Explain the difference in the results in (b) and (c). e. Given that a respondent is a male‚ what is the probability that he prefers to order at the drive-through? f. Given that a respondent is a female‚ what is the probability that she prefers to order at the drive-through
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is the probability that both outcomes are heads? Explain. Ans. P(H) = 1/2 Probability of 2 heads = 1/2 x 1/2 = 1/4 Q.2 Suppose that 25% of the population in a given area is exposed to a television commercial on Ford automobiles‚ and 34% is exposed to Ford’s radio advertisements. Also‚ it is known that 10 % of the population is exposed to both means of advertising. If a person is randomly chose out of the entire population on this area‚ what is the probability that he
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