Term
| Uniform probability distribution |
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Definition
| Distribution where the intervals of random variable X have an equal probabilitiy of occurring |
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Term
| Probability density function, (pdf) |
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Definition
| An equation used to compute probabilities of continuous random variables |
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Term
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Definition
1. The total area under the graph of the equation over all possible values of the random variable must equal 1
2. The graph of the equation must lie on or above the horizontal axis for all possible values of the random variable |
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Term
| The area under the graph of a density function represents |
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Definition
| The probability of observing a value of the random variable in that interval |
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Term
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Definition
| A continuous random variable that has a normal probability distribution |
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Term
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Definition
| Points on the normal curve where the curvature of the graph changes |
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Term
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Definition
1. mew - sigma
2. mew + sigma |
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Term
| 1. Properties of the normal density curve |
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Definition
| It is symmetric about its mean, mew |
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Term
| 2. Properties of the normal density curve |
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Definition
| Mean = median = mode, and there is a single peak and the highest point occurs at x = mew |
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Term
| 3. Properties of the normal density curve |
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Definition
| I has inflection points mew - sigma and mew + sigma |
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Term
| 4. Properties of the normal density curve |
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Definition
| The area under the curve is 1 |
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Term
| 5. Properties of the normal density curve |
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Definition
| The area under the curve to the right of mew equals the area under the curve to the left of mew |
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Term
| 6. Properties of the normal density curve |
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Definition
| A x increases/decreases without bound, the graph approaches but never reaches the horizontal axis |
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Term
| 7. Properties of the normal density curve |
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Definition
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Term
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Definition
| Approximately 68% of the area under the normal curve is between x = mew - sigma and x = mew + sigma |
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Term
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Definition
| Approximately 95% of the area under the normal curve is between x = mew - 2sigma and x = mew + 2sigma |
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Term
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Definition
| Approximately 99.7% of the area under the normal curve is between x = mew - 3sigma and x = mew + 3sigma |
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Term
| The area under the normal curve for any interval of values of the random variable X represents either |
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Definition
1. The proportion of the population with the characteristic described by the inverval of values
2. The probability that a randomly selected individual from the population will have the characteristic described by the interval of values |
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Term
| Standad normal distribution |
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Definition
| Z = X - mew/sigma with mew = 0 and sigma = 1 |
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