LEARNING IN STATISTICS AND PROBABILITY

MY LEARNINGS IN STATISTIC AND PROBABILITY My learnings in statistic and probality, Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. are many such asUse data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability. Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.

Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability.


Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.

Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events. Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process. Probability is straightforward: you have the bear. Measure the foot size, the leg length, and you can deduce the footprints. "Oh, Mr. Bubbles weighs 400lbs and has 3-foot legs, and will make tracks like this." More academically: "We have a fair coin. After 10 flips, here are the possible outcomes."