Engineering Data Analysis (Statistics) - Chapter 2: Probability скачать в хорошем качестве

Engineering Data Analysis (Statistics) - Chapter 2: Probability

Probability Properties of Probability Addition of Probability (mutually exclusive events) Addition of Probability (not mutually exclusive events) Multiplication Rule of Probability (independent events) Multiplication Rule of Probability (dependent events) Sample Problem: Classical Method: 14:14 -21:04 A card is drawn from an ordinary deck. Find these probabilities. a) Of getting a jack b) Of getting the 6 of clubs, (i.e., a 6 and a club) c) Of getting a 3 or a diamond) d) Of getting a 3 or a 6 Empirical Method 21:05 - 23:13 Suppose, for example, that a researcher for the American Automobile Association (AAA) asked 50 people who plan to travel over the Thanksgiving holida how they will get to their destination. The results can be categorized in a frequency distribution as shown. 23:15 - 27:05 In a sample of 50 people, 21 had type O blood, 22 had type A blood, 5 had type B blood, and 2 had type AB bllod. Set up a frequency distribution and find the following probabilities. a) A person has type O blood. b) A person has type A or type B blood. c) A person has neither type A nor type O blood. Addition of Probability (mutually exclusive events) 31:25 - 34:53 A city has 9 coffee shops: 3 Starbuck's, 2 Caribou Coffees, and 4 Crazy Mocho Coffees, If a person selects, one shop at random to buy a cup of coffee, find the probability that it is either a Starbuck's or Crazy Mocho Coffees. Addition of Probability (mutually exclusive events) 34:54 - 38:00 The corporate research and development centers for three local companies have the following number of employees: If a research employee is selected at a random, find the probability that the employee is employed by U.S. Steel or Alcoa. Addition of Probability (mutually exclusive events) 38:02 - 40:26 A day of the week is selected at a random. Find the probability that it is a weekend day. Addition of Probability (not mutually exclusive events) 46:56 - 50:00 In a hospital unit there are 8 nurses and 5 physicians; 7 nurses and 3 physicians are females. If a staff person is selected, find the probability that the subject nurse or a male. 50:02 - 52:38 The probability that Paula passes mathematics is 2/3, and the probability that she passes English is 4/9. If the probability of passing both courses is 1/4. what is the probability that Paula will pass at least one of the courses? Rule for Complementary 52:40 - 54:04 If the probability that a person lives in an industrialized country of the world is 1/5, find the probability that a person does not live in an industrialized country. Multiplication Rule 54:05 - 56:48 A coin is flipped and a die is rolled. Find the probability of getting a head on the coin and a 4 on the die. 56:50 - 58:52 A card is drawn from a deck and replaced; then a second card is drawn. Find the probability of getting a queen and then an ace. 58:53 - 1:01:56 Three cards are drawn from an ordinary deck and not replaced. Find the probability of these events. a. Getting 3 jacks b. Getting an ace, a king, and a queen in order. c. Getting a club, a spade, and a heart in order.