advertisement

Concepts to know (Exam 3) This exam covers Sections 7.2-7.6 and 8.1-8.4 (It is recommended to review sections 6.1-7.1, because concepts from these sections will be used.) 7.2-7.3 Uniform sample space, Probability using Venn diagrams, Probability using tables, Probability using formulas. 7.4: Probability using Venn diagrams, trees, tables, counting techniques (review the multiplication prinn(E) ciple, permutation, and combination and all probability and and counting methods); P (E) = n(S) for a uniform sample space S. 7.5 For the conditional probability of event B given event A, the reduced sample space is the given event A. n(A ∩ B) P (A ∩ B) P (B|A) = = , P (A) 6= 0. n(A) P (A) Be able to draw a probability tree diagram, and label each branch with the appropriate probability. Know to apply the product rules in a tree diagram. Be able to judge whether 2 events are independent; test for independence; using the concept of independence. 7.6 You do not need to memorize Bayes theorem (use the conditional probability formula). 8.1 Be able to classify a random variable as finite discrete, infinite discrete, or continuous. Be able how to make the probability distribution table of a random variable X. Be able to read and graph a histogram of a probability distribution. 8.2 Understand the mean of a set of data and be able to find the mode and median of a set of data. Be able to find the expected value of a random variable X by hand and by calculator. Fair game: E(X) = 0. Odds: Find odds (against/favor) if P (E) is given or found; find P (E) if the odds for E are known to be a : b 8.3 Be able to find the mean, median, and standard deviation from your calculator. Note: We skip the Chebychevs inequality. 8.4 To know the criteria of a binomial experiment. Binomial Distribution (including expected value of binom. distr.: µ = np): meaning of n, p, q, r. Be able to use the TI functions under the DISTR menu to find the binomial probabilities: binompdf and binomcdf. Any additional topic discussed in class. 1