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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5.1 #12 ‚ #34a. and b‚ #40‚ 48 #12. Which of the following numbers could be the probability of an event? 1.5‚ 0‚ = ‚0 #34 More Genetics In Problem 33‚ we learned that for some diseases‚ such as sickle-cell anemia‚ an individual will get the disease only if he or she receives both recessive alleles. This is not always the case. For example‚ Huntington’s disease only requires one dominant gene for an individual to contract the disease. Suppose that a husband and wife‚ who both have a dominant
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variable X is a weighted average of the possible values that the random variable can take. Unlike the sample mean of a group of observations‚ which gives each observation equal weight‚ the mean of a random variable weights each outcome xi according to its probability‚ pi. The mean also of a random variable provides the long-run average of the variable‚ or the expected average outcome over many observations.The common symbol for the mean (also known as the expected value of X) is ‚ formally defined by Variance
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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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cutting a deck of cards for $1‚000. What is the probability that the card for the gambler will be the following? a. A face card – there are 12 face cards in a deck of 52 cards. The probability would be 12/52 b. A queen – there are 4 queens in a deck‚ so the probability would be 4/52 c. A Spade - There are 13 cards of each suit so the probability is 13/52 or ¼. d. A jack of spades - There is only 1 jack of spades in a deck‚ so the probability would be 1/52 2. The employees in the textile
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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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EPGDIB 2014-16 Business statistics class exercise 1 Business application problems of probability Q1)Arthur Anderson enterprise group /National small business united ‚Washington conducted a national survey of small business owners to determine the challenges for growth for their businesses. The top challenge selected by 46% of the small business owners was the economy. A close second was finding qualified workers (37%) .Suppose 15% of the small
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Introduction The word Probability derives from probity‚ a measure of the authority of a witness in a legal case in Europe‚ and often correlated with the witness ’s nobility. In a sense‚ this differs much from the modern meaning of probability‚ which‚ in contrast‚ is used as a measure of the weight of empirical evidence‚ and is arrived at from inductive reasoning and statistical inference. A short history of Probability Theory............ The branch of mathematics known as probability theory was inspired
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the use of statistics and the study of probability. He gives us historical background on the development of probability studies tied to games of chance; basic ideas of probability that are part of our mental arsenal and can be used in all kinds of unexpected situations; implications on statistics. First of all‚ he talks about that probabilities take their place in every part of our life‚ how can we put statistics in our life‚ how can we calculate the probability‚ which is born in the study of games
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Probability Paper David E. Nelson QNT/561 February 14‚ 2013 Professor Minh Bui Probability Paper My friends suggested that we take a hiking trip through South America this year. The reason for such a trip was to celebrate 16 years of close friendship. The four of us had known each other since we were in middle school and have since become inseparable. Even though we all lead very different lives and have even started our own families‚ we always manage to find time to spend with each other
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