Concept explainers
In Exercises 25–40, use the given information to find the indicated probability. [HinT: See Quick Examples 14–16.]
A and B are mutually exclusive.
Want to see the full answer?
Check out a sample textbook solutionChapter 8 Solutions
Finite Mathematics and Applied Calculus (MindTap Course List)
- 1. Probabilityarrow_forwardProbability. Please answer the following.arrow_forwardDirection: Given the following situations, find the theoretical and experimental probability that the event will occur. 1. A spinner was equally divided with colors violet, red, yellow and blue. DA The table below shows the number of times the color appears. Color No. of times it occur Blue (B) 4 Red (R) 8 Yellow (Y) Violet (V) 3. a) What is the theoretical probability that blue will occur? b) What is the experimental probability that blue will occur? c) What is the experimental probability that red will occur? d) What is the theoretical probability that yellow will occur? e) How many trials are there? 2. If a fair dice is rolled, the sample space is {1, 2, 3, 4, 5, and 6) a) What is the probability of getting an even number? b) What is the probability of getting number more than 6? birection: The table shows how many of each different size of a particular style of T-shirt were sold at one outlet last month. Find the probability that a T-shirt sold will be each size. Choose the letter…arrow_forward
- Answer no. 4. Probability.arrow_forwardBased on historical data kept by a business school, the probability distribution for students who have been found in violation of academic integrity in the core accounting class each semester is given below. Let x = number of students found in violation of academic integrity in a semester in the core accounting class. Answer the questions below. Do your calculations in the columns to the right of Prob(x). x Prob(x) 0 0.5 1 0.18 2 0.17 3 0.04 4 0.106 5 0.004 A) Is this a valid probability distribution? Justify briefly. B) What is the expected value of the number of students found to be in violation of academic integrity in the core accounting class c) What is the standard deviation of the number of students found to be in violation of academic integrity in the core accounting class?arrow_forwardAssume that A, B and C are three independent events such that P (A) = 0.2, P (B) = 0.6 and P (C) = 0.4. Determine the probability that exactly one of these events will occur. Answer with the probability in percent.arrow_forward
- Probability. Don't understand.arrow_forwardQ9. The electrical apparatus in the diagram works so long as current can flow from left to right. The three components are independent. The probability that component A works is 0.7; the probability that component B works is 0.8; and the probability that component C works is 0.65. Find the probability that the apparatus works.arrow_forwardAssume that A, B and C are three independent events such that P (A) = 0.2, P (B) = 0.5 and P (C) = 0.1. Determine the probability that none of these three events will occur. Answer with the probability expressed as a percentage.arrow_forward
- The addition rule P(E or F)=P(E)+P(F) applies only to which type of events? a. Complementary b. Independent c. Disjoint d. Dependentarrow_forwardSection 2 7. The joint probability function for X and Y is given below. Find Pr(X >Y). fx,x (x, y) 0.24 0.36 1 0.21 0.19 0.79 0.43 None of the given options. 0.21 0.57arrow_forwardCalculate the probability of being dealt the following poker hand. (Recall that a poker player is dealt 5 cards at random from a standard deck of 52.) Express your answer as a decimal rounded to four decimal places. HINT [See Example 3.] Two pairs: Two cards with one denomination, two with another, and one with a third. Example: 3, 3, Q, Q, J.arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning