Table 3.1 describes the distribution of a random sample S of 100 individuals, organized by gender and whether they are right- or left-handed. Right-handed Left-handedTable 3.1Left-handRight-HandMALE439FEMALE444Let's denote the events M = the subject is male, F = the subject is female, R = the subject is right-handed, L= the subject is left-handed. Compute the following probabilities:a. P(M)b. P(F)c. P(R)d. P(L)e. P(M AND R)f. P(F AND L)g. P(M OR F)h. P(M OR R)1. P(F OR L)J. P(M)k. P(R|M)I. P(F|L)m. P(L|F)

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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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1. The following is a summary of the results of a survey: Full-Time Part-Time Column Totals Faculty 25 48 73 b. P(Full-Time) c. P( Part-Time, given Faculty) d. P(Staff, given Full-Time) e. P( Full-Time and Staff) f. P(Part-Time or Administration) Staff 16 7 23 A respondent is randomly chosen. Find the following probabilities: a. P(Faculty) Administration 9 3 12 Row Totals 50 58- 108 2. The probability that it will rain today is 50%. The probability that it will rain tomorrow is 60%. There is a 30% probability that it will rain both days. What is the probability that it will rain either today or tomorrow? 3. A committee is composed 30% of females and 60% of administrators. Among the administrators, 10% are females. What is the probability that a randomly chosen member of the committee is both an administrator and a female? a. b. c. 13, 11, 14, 8, 14 4. If a balanced die is rolled, what is the probability that the number of dots on the top face is either odd or less than four? 5. A bowl…
1.State Farm Insurance studies show that in Colorado, 64% of the auto insurance claims submitted for property damage were submitted by males under 25 years of age. Suppose 12 property damage claims involving automobiles are selected at random. (a) Let r be the number of claims made by males under age 25. Make a histogram for the r-distribution probabilities. (b) What is the probability that three or more claims are made by males under age 25? (Use 3 decimal places.)(c) What is the expected number of claims made by males under age 25? What is the standard deviation of the r-probability distribution? (Use 2 decimal places.) ? ? 2.A professor determines a final grade based on attendance, two papers, three major tests, and a final exam. Each of these activities has a total of 100 possible points. However, the activities carry different weights. Attendance is worth 6%, each paper is worth 8%, each test is worth 19%, and the final is worth 21%. (a) What is the average for a…
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2. The following table shows the income distribution for two groups of people in a country: those who declare to belong to a faith, and those who declare to be free thinkers. Income bracket Middle 13278 2225 Religious outlook Faith believer Free thinker Lower 7940 1241 Upper 4527 813 (a) A person is randomly selected from the group, find the probability that this person is a (i) free thinker. (ii) free thinker given that he/she has middle income. (iii) faith believer or he/she has lower income. (b) Are the events "Free thinker" and "Middle income" independent? Explain your answer. (Note: Round the probabilities to two significant figures)
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