Probability of an EventThe probability of an event, denoted as P(E), is the numerical measure of thelikelihood that an event will occur. It is calculated by finding the quotient of the number offavorable outcomes and the total number of possible outcomes. In symbols,n(E)P(E)=n(S)where n(E) is the number of the elements in the event and n(S) is the number of the elementsin the sample space.1. If you flip two coins, what is the probability of getting 2 heads?2. A pair of dice is thrown, what is the probability of getting a result of prime number?3. If a card is selected at random from a standard deck of 52 cards. What is the probability of getting a "blackjack?4. Moira collects stamps from different countries. She has 10 different stamps from China, 5 from Thailand, 3from France, 6 from USA and 1 from Venezuela. Her sister Lindsay borrows one stamp for a schoolassignment. What is the probability that the stamp Lindsay borrows if from Thailand?

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Internet Use A survey of U.S. adults ages 18–29 found that 93% use the Internet. You randomly select 100 adults ages 18–29 and ask them if they use the Internet. (a) Find the probability that exactly 90 people say they use the Internet. (b) Find the probability that at least 90 people say they use the Internet. (c) Find the probability that fewer than 90 people say they use the Internet. (d) Are any of the probabilities in parts (a)-(c) unusual? Explain.
Caffeine A student study of the effects of caffeine asked volunteers to take a memory test 2 hours after drink-ing soda. Some drank caffeine-free cola, some drank regular cola (with caffeine), and others drank a mixtureof the two (getting a half-dose of caffeine). Here are the5-number summaries for each group’s scores (number ofitems recalled correctly) on the memory test:a) Describe the W’s for these data.b) Name the variables and classify each as categorical orquantitative.c) Create parallel boxplots to display these results as bestyou can with this information.d) Write a few sentences comparing the performances ofthe three groups.
A die is rolled. Find the probability of the given event.Write your answers as whole numbers or reduced fractions.(a) The number showing is a 5 PP(5) = (b) The number showing is an even number PP(even) = (c) The number showing is greater than 5 PP(greater than 5)
Toss a fair die and two fair coins. (Hint: Use (a) to compute (b) and (c)) (a) Write down the sample space. (b) Find the probability of getting exactly two heads. (c) Find the probability that the number on the die is at most 2.
Classify the events as independent or not independent. Events A and B where P(A) = 0.6, P(B) = 0.9, and P(A and B) = 0.54 Select one: a.independent b.not independent
Mathematics Tutoring Center At a drop-in mathe- matics tutoring center, each teacher sees 4 to 8 students per hour. The probability that a tutor sees 4 students in an hour is 0.117; 5 students, 0.123; 6 students, 0.295; and 7 students, 0.328. Find the probability that a tutor sees 8 students in an hour, construct the probability distribution, and draw the graph.
Hint(s) Check My Work The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers follow. 4 8. 10 1 8. 7. 8. 8. 10 6. 1. 8. 7 8 7. 6. 8. 10 4 8. 1. 8 8. 7 10 6. 8. 4 6. 81 6. 1. 7. 7. Develop a 95% confidence interval estimate of the population mean rating for Miami. Round your answers to two decimal places. 9. 6.
Statistics students at a state college compiled the following two-way table from a sample of randomly selected students at their college: Play chess Don’t play chess Male students 25 162 Female students 19 148 Answer the following questions about the table. Be sure to show any calculations. What question about the population of students at the state college would this table attempt to answer?State Hº and Hª for the test related to this table.
Hint(s) Check My Work The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers follow. 2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9 6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9 7 10 7 9 9 9 9 Develop a confidence interval estimate of the population mean rating for Miami. Round your answers to two decimal places
Probability of the Union of Two Sets Conceptual Overview: Explore how the probability of the union of two events equals the probability that either event occurs. The two circles shown below represent two events, A and B. The area of each circle represents the probability of the event. With no overlap you can see that the probability of one or the other of the two events (the union of A and B) written as P(A U B) is the sum of their probabilities. The union is often described as an "OR" statement. The union is the probability of A occurring OR B occurring OR both A and B occurring simultaneously (their intersection). Drag one of the circles so that the circles begin to overlap. You will see that the probability of the union decreases because some probability is included in both sets (their intersection). You can also drag the letter for each set to change its size and thus its probability. P(A) = 0.129, P(B) = 0.067, P(A U B) = 0.195 B
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K Suppose Emerson wins 41% of all checker games. (a) What is the probability that Emerson wins two checker games in a row? (b) What is the probability that Emerson wins three checker games in a row? (c) When events are independent, their complements are independent as well. Use this result to determine the probability that Emerson wins three checker games in a row, but does not win four in a row. (a) The probability that Emerson wins two checker games in a row is (Round to four decimal places as needed.) (...)

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