Warm-up5.5 Independent Events

Jack and Jill have finished conducting taste tests with 100 adults from their neighborhood. 

Review H.W. 4.3 E#46, 50 and 51

Important formulas

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BPAPBAP

BAP

)()()(B)P(A

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BAPBPAP

BAP

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or)()(

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BPAPBAP )()()( ABPAPBAP

Mutually Exclusive (Disjoint) Non-Mutually Exclusive

Independent For any two events

D. 25 pg 340

Suppose you choose a student at random from your school. Ineach case, does knowing that event A happened increase theprobability of event B, decrease the probability of event B, orleave the probability of event B unchanged?a. A:The student is a football player; B: The student weighs

less than 120 lb.b. A: The student has long fingernails; B: The student is

female.c. A:The student is a freshman; B: The student is male.d.

A: The student is a freshman; B: The student is a senior

Examples using formulas

Example: At a particular college, 56% of students lived oncampus, 62% have campus meal program, and 42% do both.L = {students living on campus); M= {students with a campusmeal plan}

a. Are these events disjoint?

b. Are these events independent?

Another Example

Another Example: Police report that 78% of suspected drunkdrivers pulled over are given a breath test, 36% a blood test,and 22% both tests. L = {suspected drunk drivers that given blood test} R = {suspected drunk drivers that are given a breath test}

a.Draw a two-way table of the data.

b. Are the events mutually exclusive?

c. Are the two tests independent?

Final ExampleFinal Example: In a statistics textbook 48% of pageshad data displays, 27% of pages had an equation and7% of pages had both a data display and equation.

a. Draw a two-way table of the information.

b. What is the probability that a randomly selected page with an equation, also had a data display?

Homework and next classes1) pg 350 E#77 to 83 (skip #78) pg 354 AP #1 - 52) Sign up for a food, dessert, plastic ware , plates, cups, ordrinks. You can collaborate on the food or dessert. Foodmeans (anything not sweet)Up to 3 people can sign up for drinks. Please discuss what youplan to bring so we have a variety of beverage choice (tea,soda, juice)3) Remember we will be having our holiday potluck December 13th . The same day as our Ch. 5 Test.Notebook Check: 5.1 Warm-up,5.1, 5.2 and 5.3, 5.4 Day 1, 5.4Day 2, 5.5 5 notes at 16 pts each ( 10 pts for notes and 6 ptsfor warm-up) = 80 pts About 20 vocab terms for 20 pts