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Warm-up 5.5 Independent Events

Warm-up 5.5 Independent Events. Jack and Jill have finished conducting taste tests with 100 adults from their neighborhood. . Student of the day! Block 1. Student of the day! Block 2. Discuss homework. 5.4 E # 46, 50 and 51. Important formulas.

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Warm-up 5.5 Independent Events

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  1. Warm-up5.5 Independent Events Jack and Jill have finished conducting taste tests with 100 adults from their neighborhood. 

  2. Student of the day!Block 1

  3. Student of the day!Block 2

  4. Discuss homework 5.4 E # 46, 50 and 51

  5. Important formulas Mutually Exclusive (Disjoint) Non-Mutually Exclusive Independent For any two events

  6. D. 25 pg 340 Suppose you choose a student at random from your school. In each case, does knowing that event A happened increase the probability of event B, decrease the probability of event B, or leave the probability of event B unchanged? • 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

  7. Examples using formulas Example: At a particular college, 56% of students lived on campus, 62% have campus meal program, and 42% do both. L = {students living on campus); M= {students with a campus meal plan} • Are these events disjoint? b. Are these events independent?

  8. Another Example Another Example: Police report that 78% of suspected drunk drivers 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?

  9. Final Example Final Example: In a statistics textbook 48% of pages had data displays, 27% of pages had an equation and 7% 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?

  10. Common quiz mistakes Listing sample space • A family has three children, the number of boys {0, 1, 2, 3} not equally likely • Flipping a coin 4 times, the longest run of heads { 0, 1, 2, 3, 4} not equally likely Completing a simulation to find a proportion 10 times, so you can multiply by 10

  11. Homework and Notebook Check • 5.5 E #62 – 64 pg 354 AP #1 – 5 • Bring textbook for review out of the textbook next class Notebook Check: 5.1, 5.2 and 5.3, 5.4 Day 1, 5.4 Day 2, 5.5 5 notes at 16 pts each ( 10 pts for notes and 6 pts for warm-up) = 80 pts About 17 vocabterms for 20 pts

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

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