1 / 13

Probability & Statistics

Probability & Statistics. Course Review. The Idea of Probability. According to the “Book of Odds,” the probability that a randomly selected U.S. adult usually eats breakfast is 0.61. Explain what probability 0.61 means in this setting.

telyn
Download Presentation

Probability & Statistics

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Probability & Statistics Course Review

  2. The Idea of Probability According to the “Book of Odds,” the probability that a randomly selected U.S. adult usually eats breakfast is 0.61. • Explain what probability 0.61 means in this setting. • Why doesn’t this probability say that if 100 U.S. adults are chosen at random, exactly 61 of them usually eats breakfast?

  3. Probability Models Create a probability distribution for the event: “You roll two 6-sided die and add the numbers.” P(5) = P(not 5) = P(6) =

  4. Mutually Exclusive or Disjoint

  5. Applying Probability Rules Age of Those Enrolled in Distance-learning Courses Age (yr): 18 to 23 24 to 29 30 to 39 40+ Probability: 0.57 0.17 0.14 0.12 • Why is this a legitimate probability model? • P(not 18 to 23) =

  6. Applying Probability Rules (cont.) A = cholesterol of 240mg or above B = cholesterol of 200mg to 239mg P(A) = 0.16 P(B) = 0.29 • Why are events A and B mutually exclusive? • P(A or B) = • What does P(A or B) mean? • P(cholesterol below 200) =

  7. Two-way Tables Pierced Ears Gender Yes No Male 19 71 Female 84 4 • P(pierced ears) = • P(male with pierced ears) = • P(male or pierced ears) =

  8. Venn Diagrams In an apartment complex, 40% of residents read USA Today. Only 25% read the New York Times. Five percent of residents read both papers. • Make a two-way table • Make a Venn diagram • P(reads at least one newspaper) = • P(does not read newspaper) =

  9. Conditional Probability Pierced Ears Gender Yes No Male 19 71 Female 84 4 • P(male | pierced ears) = • P(pierced ears | male) =

  10. Conditional Probability (cont.) Grade Average School A B Below B Liberal Arts 2142 1890 2268 Physical Sciences 368 432 800 Social Sciences 882 630 588 • P(below B) = • P(physical science | below B) = • P(below B | physical science) =

  11. Independence Dominant Hand Gender Right Left Male 20 3 Female 23 4 Are the events “male” and “left-handed” independent?

  12. More Independence In a deck of cards… Are “1st card is a heart” and “2nd card is a heart” independent? Is this still true if you put the 1st card back in the deck and reshuffle after looking at it?

  13. Tree Diagram (Multiplication Rule) A company makes desktops and laptops in three different states. California produces 40% of the computers, Texas makes 25%, and New York makes the rest. Of the computers made in California, 75% are laptops. Of those made in Texas and New York, 70% and 50%, respectively, are laptops. Make a tree diagram. P(laptop) =

More Related