Name: Stats CH3 Study Guide 20/pts Identify the sample space of the probability experiment and deten'nlne the number of outcomes In the event. Draw a tree diagram If it is appropriate. 1. Experiment: Tossing four coins. Event: Getting three heads 2. Experiment: Rolling 2 six-sided dice. Event: Getting a sum of 4 or 5 Use the Fundamental Counting Principle. 3. A student must choose between 7 classes to take at 8:00AM. 4 classes to take at 9:00 A.M.. and 3 classes to take at 10:00 AM. How many ways can the student arrange the schedule? Classify the statement as an example of classical probability. empirical probability. or subjective probability. 4. On the basis of prior counts. a quality control ofcer says there is a 0.05 probability that a randomly chosen part is defective. 5. The probability of randomly selecting five cards of the same suit {a ush} from a standard deck is about 0.0005. 6. The chance that Corporation A's stock price will fall today is 75%. The table shows the approximate distribution of the sizes of firms for 2004. Use the table to determine "-I \"-i ' "-I'il'v\" \"mm-- the probability of the event. mm... ..r I m. 7. What is the probability that a randomly selected firm will have at least 10 employees? The telephone numbers for NM have an area code of 505. The next seven digits represent the local telephone numbers. A local telephone number cannot begin with a 0 or 1. 8. What is the probability oI randomly generating my telephone number? The list shows the results of a study on the use of plus/minus grading at NCSU. It shows the percents of graduate and undergraduate students who received grades with pluses and minuses (for example. C + . A - . etc.). - Of all students who received one or more plus grades. 92% were undergraduates and 8% were graduates. - Of all students who received one or more minus grades. 93% were undergraduates and 7% were graduates. 9. Find the probability that a student is an undergraduate student. given that the student received a plus grade. Decide whether the events are independent or dependent. 10. Tossing a coin four times. getting four heads. and tossing it a fifth time and getting a head Find the probability ol the sequence of events. 11. You are shopping. and your roommate has asked you to pick up toothpaste and dental rinse. However. your roommate did not tell you which brands to get. The store has eight brands of toothpaste and five brands of dental rinse. What Is the probability that you will purchase the correct brands of both products? Decide if the events are mutually exclusive. 12. Event A: Ftandomly select a red jelly bean Irom a Jar. Event B: Randomly select a yellow jelly been from the same jar. Find the probability 13. A random sample of 250 working adults found that 37% access the Internet at work. 44% access the Internet at home. and 21% access the Internet at both work and home. What is the probability that a person In this sample selected at random accesses the lntemet at home or at work? 14. A card is randomly selected from a standard deck. Find the probability that the card is between 4 and B nclusive} or is a club. 15. A 12-sided die. numbered 112. is rolled. Find the probability that the roll results in an odd number or a number less than 4. Use combinations and permutations