3. The hypergeometric Distributions a. It is used when samples are taken from a finite population without being replaced b. The probabilities of success change repeatedly because the sample space becomes smaller after each selection. Identify the rules for discrete probability distributions. 1. Each outcome in the distribution needs to be mutually exclusive with other outcomes in the distribution. 2. 0 ≤ P(x) ≤ 1. 3. The sum of the probabilities for all the outcomes needs to add up to 1. Create binomial distributions from data & Excel
Calculate means and standard deviations of binomial distributions.
Compute probability combinations. Identify the characteristics of normal probability distributions. Empirical Rule: if a distribution follows a bell-shape, symmetrical curve centered around the mean, approximately 68%, 95%, and 99.7% of its value will fall within one, two, and three standard deviation above and below the mean. A smaller standard deviation results in a skinner curve that is tighter and taller around the mean. By contract, a larger standard deviation makes for a fatter curve that is more spread out and not as tall. Calculate the probability of normal distributions. Compute exponential probability and interpret outcomes.
Determine the uses and method of calculating uniform distributions. P(x) = (X’-X)/(b-a) The formula for calculating the mean of uniform distribution is μ =(a+b)/2 The formula for calculating the standard deviation is ơ = (b-a)/ √ 12
Lesson 4 Problem: 1, 4, 5!
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- Fall '12
- Normal Distribution, Probability theory, 68%, 84.2%, populationproportion