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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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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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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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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P(S) The symbol for the probability of success P(F) The symbol for the probability of failure p The numerical probability of a success q The numerical probability of a failure P(S) = p and P(F) = 1 - p = q n The number of trials X The number of successes The probability of a success in a binomial experiment can be computed with the following formula. Binomial Probability Formula In a binomial experiment
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BBA (Fall - 2014) Business Statistics Theory of Probability Ahmad Jalil Ansari Business Head Enterprise Solution Division Random Process In a random process we know that what outcomes or events could happen; but we do not know which particular outcome or event will happen. For example tossing of coin‚ rolling of dice‚ roulette wheel‚ changes in valuation in shares‚ demand of particular product etc. Probability It is the numeric value representing the chance‚ likelihood‚ or possibility
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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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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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uniformly distributed over (0‚ 10)‚ calculate the probability that a. X < 3 (Ans: 3/10) b. X > 6 (Ans: 4/10) c. 3 < X < 8. (Ans: 5/10) 2. Buses arrive at a specified stop at 15-minute intervals starting at 7 AM. That is‚ they arrive at 7‚ 7:15‚ 7:30‚ 7:45‚ and so on. If a passenger arrives at the stop at a time that is uniformly distributed between 7 and 7:30‚ find the probability that he waits d. Less than 5 minutes for a
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standard deck of cards drawing a second ace from a standard deck of cards‚ without replacing the first f) drawing an ace from a standard deck of cards drawing a second ace from a standard deck of cards‚ after replacing the first 2. What is the probability of drawing each of the following from a standard deck of cards‚ assuming that the first card is not replaced? a) an ace followed by a 2 b) two aces c) a black jack followed by a 3 d) a face card followed by a black 7 3. Repeat each part of
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