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In Exercises 21–28, give the probability distribution for the indicated random variable, draw the corresponding histogram, and calculate the indicated probability. [hinT: See Example 3.]
A red die and a green die are rolled, and
Calculate
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Chapter 8 Solutions
Bundle: Finite Mathematics, Loose-leaf Version, 7th + WebAssign Printed Access Card for Waner/Costenoble's Finite Mathematics, 7th Edition, Single-Term
- Based 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_forwardTOPIC: PROBABILITYarrow_forwardUsing Normal Approximation. In Exercises 5–8, do the following: If the requirements of np ≥ 5 and nq are both satisfied, estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution; if np ≤ 5 or nq < 5, then state that the normal approximation should not be used. Births of Boys with n= = 8 births and p = 0.512 for a boy, find p (exactly 5 boys).arrow_forward
- Q9. 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_forwardYou are playing a game at a carnival. You can win $5 with probability 0.15 on each round, but if you lose, you pay $2. Assume each round that you play is independent of the others. Let X be the number of rounds it takes for you to get your first win (including the first win). X is distributed [ Select ] The expectation of X is [Select ] If you stop playing after your first win, your expected winnings (i.e. net profit, or the number of dollars you win or lose from playing the game; positive if you win more money than you lose) is [ Select ] You are playing a game at a carnival. You can win $5 with probability 0.15 on each round, but if you lose, you pay $2. Assume each round that you play is independent of the others. Let X be the number of rounds it takes for you to get your first win (including the first win). X is distributed [ Select ] [ Select ] The expectation of X Geometric(p = 0.15) Exponential(\lambda = 0.15) If you stop playing aft number of dollars you winnings (i.e. net…arrow_forwardAlexandra and Martha take a math exam. The probability of passing this exam for Alexandra and Martha is 2/3 and 3/5, respectively. What is the probability that at least one of them will pass the exam?arrow_forward
- The Clippers basketball team are predicted to win 90% of their games during the playoffs. If this is an accurate statement about their performance, what are the chances they win all three of their next three games? The probability they win none of them? The probability they win exactly 1?arrow_forwardSuppose that E and F are two events and that P(E and F)=0.1 and P(E)=0.5. What is P(F|E)?arrow_forwardGive in brief the concept of probabilityarrow_forward
- Construct the distribution of the given formula and check if the correspondence can serve as the probability distribution in a random variable. P(x)=(x+3)/(15)for x=1,2, and 3arrow_forwardConstruct a probability for the given data.arrow_forwarda) Write and draw the probability distribution of the face that appears when a dice is rolled. Calculate E (x) and V (x). b) Roll the two dice and write and draw the probability distribution of the sum of the incoming dice. Calculate E (x) and V (x). c) Roll the three dice and write and draw the probability distribution of the sum of the incoming dice. Calculate E (x) and V (x). d) Throw one thousand dice at the same time and write and draw the probability distribution for the sum of the incoming faces. Calculate E (x) and V (x). Thank you so much.arrow_forward
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education
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