Probability & Statistics: Venn Diagrams, Two-Way Tables, Bayes' Theorem, Binomial Distribu, Study notes of Mathematics

Instructions and examples for various probability and statistics concepts, including using venn diagrams to compute probabilities, finding probabilities using two-way tables, computing conditional probabilities, using tree diagrams for bayes' theorem, computing probabilities using the multiplication rule, drawing tree diagrams for bayes' theorem problems, computing conditional probabilities using bayes' theorem, showing how to use the binomial distribution to find probabilities, using histograms to answer questions about frequency and percentage, using cumulative frequency tables to answer questions about relative frequency, understanding cumulative distribution histograms, computing mean and median, and computing sample standard deviation. The document also includes instructions for using the normal distribution to compute percentages or probabilities.

Typology: Study notes

Pre 2010

Uploaded on 11/11/2009

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Draw a Venn diagram and place the numbers representing each region on the Venn
diagram correctly. Pg 426 # 13 Pg 438 #55-56
Use a Venn diagram to compute probabilities. Pg 426 #13 Pg 438 #55-56
Find the probability of event involving “or” or “and” using a two-way table.
Pg. 426-427 #17-24 Pg 437 #23, 25, 27 Pg 438 #39
Find conditional probabilities from two-way tables. Pg 437-438 19, 21, 29, 35, 37
Given a diagram with probabilities along each path, compute the probability of events.
Pg.456 #7, 9, 11 Pg. 449 # 23 (remember the answer to part c is wrong in the back of the
book)
Compute the probability using the multiplication rule. Pg 449 #25,27
Draw a tree diagram to represent a given Bayes’s Theorem problem. You must draw the
tree and correct label the paths with their associated probabilities to get credit for this
problem. We drew tree to help us answer questions like those on Pg 457 #35,37,41,43
and Pg 466 #61
Compute the conditional probability of an event using Bayes’s Theorem. Pg 457 37, 43
and Pg 466 # 61
Show how to use the formula for the binomial distribution to find the probability of
events. You must show where the numbers go in the formula to receive full credit. The
computation is optional. Pg. 464-465 #5, 6, 11, 12, 43, 45
Use a histogram to answer questions about frequency and percentage.
Pg 483 #9, 11
Use the information in a cumulative frequency table to answer questions about relative
frequency.
Pg 484 #41
Understand the information that is given in a cumulative distribution histogram.
Compute the mean and median for data displayed in a histogram or a table.
Pg 496 #51 Pg 495 35,36
Show how to compute the sample standard deviation a list of number or a table of
outcomes and frequencies. The list will have no more than five different outcomes.
You must show where the numbers go in the formula and do the computation correctly to
receive full credit. Pg 505 #11,35
Use the normal distribution to compute percentages or probabilities. Pg 520 #56, 57
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Draw a Venn diagram and place the numbers representing each region on the Venn diagram correctly. Pg 426 # 13 Pg 438 #55- Use a Venn diagram to compute probabilities. Pg 426 #13 Pg 438 #55- Find the probability of event involving “or” or “and” using a two-way table. Pg. 426-427 #17-24 Pg 437 #23, 25, 27 Pg 438 # Find conditional probabilities from two-way tables. Pg 437-438 19, 21, 29, 35, 37 Given a diagram with probabilities along each path, compute the probability of events. Pg.456 #7, 9, 11 Pg. 449 # 23 (remember the answer to part c is wrong in the back of the book) Compute the probability using the multiplication rule. Pg 449 #25, Draw a tree diagram to represent a given Bayes’s Theorem problem. You must draw the tree and correct label the paths with their associated probabilities to get credit for this problem. We drew tree to help us answer questions like those on Pg 457 #35,37,41, and Pg 466 # Compute the conditional probability of an event using Bayes’s Theorem. Pg 457 37, 43 and Pg 466 # 61 Show how to use the formula for the binomial distribution to find the probability of events. You must show where the numbers go in the formula to receive full credit. The computation is optional. Pg. 464-465 #5, 6, 11, 12, 43, 45 Use a histogram to answer questions about frequency and percentage. Pg 483 #9, 11 Use the information in a cumulative frequency table to answer questions about relative frequency. Pg 484 # Understand the information that is given in a cumulative distribution histogram. Compute the mean and median for data displayed in a histogram or a table. Pg 496 #51 Pg 495 35, Show how to compute the sample standard deviation a list of number or a table of outcomes and frequencies. The list will have no more than five different outcomes. You must show where the numbers go in the formula and do the computation correctly to receive full credit. Pg 505 #11, Use the normal distribution to compute percentages or probabilities. Pg 520 #56, 57