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# Statistics – Unit 5

Posted by on May 31, 2019

Unit 5

Topics:

Remarks on the Concept of “Probability” link:Probability Intro

• Learning Objectives
1. Define symmetrical outcomes
2. Distinguish between frequentist and subjective approaches
3. Determine whether the frequentist or subjective approach is better suited for a given situation

Basic Concepts link:Basic Concepts

• Learning Objectives
1. Compute probability in a situation where there are equally-likely outcomes
2. Apply concepts to cards and dice
3. Compute the probability of two independent events both occurring
4. Compute the probability of either of two independent events occurring
5. Do problems that involve conditional probabilities
6. Compute the probability that in a room of N people, at least two share a birthday

Permutations and Combinations link:Permutations and Combinations

• Learning Objectives
1. Calculate the probability of two independent events occurring
2. Define permutations and combinations
3. List all permutations and combinations
4. Apply formulas for permutations and combination
5. Describe the gambler’s fallacy

Binomial Distribution link:Binomial Distribution

• Learning Objectives
1. Define binomial outcomes
2. Compute the probability of getting X successes in N trials
3. Compute cumulative binomial probabilities
4. Find the mean and standard deviation of a binomial distribution

• Learning Objectives
1. Use the Poisson distribution to calculate the probabilities of various numbers of “successes” based on the mean number of successes

• Learning Objectives
1. Define multinomial outcomes
2. Compute probabilities using the multinomial distribution

• Learning Objectives
1. Use the hypergeometric distribution to calculate probabilities when sampling without replacement

Base Rates link:Base Rates

• Learning Objectives
1. Compute the probability of a condition from hits, false alarms, and base rates using a tree diagram
2. Compute the probability of a condition from hits, false alarms, and base rates using Bayes’ Theorem

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