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Unformatted text preview: p(x = 0) = What is the probability that at most two dogs react to the shampoo? What is the probability that exactly 1 dog reacts to the drug? MEAN, VARIANCE AND STANDARD DEVIATION OF A BINOMIAL DISTRIBUTION *mean is also called the expected value Mean: μ = E(X) = np Variance: σ 2 = np(1p) = npq The standard deviation, σ , is the square root of the variance. Example 1: Find the mean and Stdev For the dog reaction example, Example 2: The probability of success on a single trial of a binomial experiment is known to be ¼. The random variable X has a mean value of 80. Find the number of trials involved in this experiment and the standard deviation of X. Example 3: The probability that a hunter hits a target is .7. If 8 shots are fired, find the probability that: He will hit the target 4 times. He will hit the target at least once. He will miss the target every time. How many times should he expect to hit the target?...
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 Fall '07
 MELutz
 Statistics, Binomial, Probability, Probability theory, Binomial Probability Distributions, binomial probability function

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