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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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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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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supreme court of Texas prohibited colleges to use affirmative action. When affirmative action was prohibited‚ minority enrollments at colleges decrease. To racially diversify colleges‚ Legislature passed the top ten percent rule. The top ten percent rule states any high school student that is in the top ten percent of his or her class will be automatically admitted into any Texas public college. Although the rule did diversify colleges‚ primarily University of Texas at Austin‚ the rule was unfair to
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psychologist and psychiatrist true enough help children‚ but it’s mainly behind the desk. I truly believe that today’s children need hands on interaction. With saying that‚ I want to become a licensed Social Worker in the state of Arkansas‚ and Texas later in life. My desire is to work strictly within the foster care system. I want to learn the art of Social Work‚ the “ins and outs” and the “dos and don’ts”. I then want to matriculate to then supervise the Social Workers. The reason I have chosen
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Challenges To Enterprise Systems Manufacturers: Delivering Flexibility‚ Managing Complexity‚ and Providing Optimal Service Challenges To Enterprise Systems Manufacturers: Delivering Flexibility‚ Managing Complexity‚ and Providing Optimal Service THREE CHALLENGES FACING ENTERPRISE SYSTEMS MANUFACTURERS In high tech‚ the term “Enterprise Systems” means large-scale servers‚ storage systems‚ networking equipment and accompanying software primarily targeted toward the Enterprise market. Enterprise
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Concept and basics of probability sampling methods One of the most important issues in researches is selecting an appropriate sample. Among sampling methods‚ probability sample are of much importance since most statistical tests fit on to this type of sampling method. Representativeness and generalize-ability will be achieved well with probable samples from a population‚ although the matter of low feasibility of a probable sampling method or high cost‚ don’t allow us to use it and shift us to the
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1. A quality control engineer knows that 10% of the microprocessor chips produced by a machine are defective. Out of a large shipment‚ five chips are chosen at random. What is the probability that none of them is defective? What is the probability that at least one is defective? 2. An automated manufacturing process produces a component with an average width of 7.55 centimeters‚ with a standard deviation of 0.02 centimeter. All components deviating by more than 0.05 centimeter from the mean must
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Annexation of Texas Manifest destiny: - It is the belief by democrats in us that they were destined to expand America. Democrats used it in the 1840s to justify the war with Mexico and it was also used to divide half of Oregon with Great Britain. Annexation of Texas: - The annexation of Texas and the Mexican cession are examples of the Manifest Destiny in action. In 1845‚ John L. O’Sullivan wrote an article about the annexation of Texas and first used the term‚ manifest
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random. What is the probability that at least one pair of shoes is obtained? 2. At a camera factory‚ an inspector checks 20 cameras and finds that three of them need adjustment before they can be shipped. Another employee carelessly mixes the cameras up so that no one knows which is which. Thus‚ the inspector must recheck the cameras one at a time until he locates all the bad ones. (a) What is the probability that no more than 17 cameras need to be rechecked? (b) What is the probability that exactly 17
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