Matakuja Bank is concerned with the basic education skills of its office attendants and decided to offer a selected group of them two short term trainings in office operations and customer care. Of these workers, 40% signed up for the office operations training and 50% for the customer care training. Of those signing up for the office operations, 30% signed up for the customer care training i) What is the probability that a randomly selected worker who signed up for the customer care training also signed up for the office operations? ii) What is the probability that a randomly chosen worker signed up for at least one of these two trainings? iii) Are the events “signing up for the office operations” and “signing up for the “customer care” sta

Matakuja Bank is concerned with the basic education skills of its office attendants and decided to offer a selected group of them two short term trainings in office operations and customer care. Of these workers, 40% signed up for the office operations training and 50% for the customer care training. Of those signing up for the office operations, 30% signed up for the customer care training i) What is the probability that a randomly selected worker who signed up for the customer care training also signed up for the office operations? ii) What is the probability that a randomly chosen worker signed up for at least one of these two trainings? iii) Are the events “signing up for the office operations” and “signing up for the “customer care” sta

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Description: Matakuja Bank is concerned with the basic education skills of its office attendants and decided to offer a selected group of them two short term trainings in office operations and customer care. Of these workers, 40% signed up for the office operatio

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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At a joint meeting 28% of the employees are sales and administration staff and 72 % are production staff. The company offers a free 6-month fitness program for all employees. Forty percent of the sales and administration staff participate, and 64%of the production staff participate. At the end of the program an employee is selected to at random to assess the value of the program. The person is selected from those who participated in the program. Find the probability that the person selected is on the production staff.
In a study of 349,212 cell phone users, it was found that 26 developed cancer of the brain or nervous system. Assuming that cell phones have no effect, there is a 0.000109 probability of a person developing cancer of the brain or nervous system. We therefore expect about 39 cases of such cancer in a group of 349,212 people. Estimate the probability of 26 or fewer cases of such cancer in a group of 349,212 people. What do these results suggest about media reports that cell phones cause cancer of the brain or nervous system? (a) P(xs 26) = (Round to four decimal places as needed.) (b) What does the result from part (a) suggest about the media reports? O A. The media reports appear to be correct because one would expect that more than 26 cell phone users would develop cancer and the study offers significant evidence to support this. B. The media reports appear to be incorrect because one would expect that more than 39 cell phone users would develop cancer. In fact, the study may offer…
Eleven percent of American children (ages 4 to 17) have Attention Deficient Hyperactivity Disorder (ADHD) according to the Center for Disease Control. Suppose six American children in this age group are randomly selected, is the probability that at least one has ADHD unusual? Eleven percent of American children (ages 4 to 17) have Attention Deficient Hyperactivity Disorder (ADHD) according to the Center for Disease Control. Suppose six American children in this age group are randomly selected, is the probability that at least one has ADHD unusual? No, this probability is not unusual because it is more than 0.05. Yes, this probability is unusual because it is more than 0.05. No, this probability is not unusual because it is within 2 standard deviations of the mean. Yes, this probability is unusual because it is not within 2 standard deviations of the mean. No, this probability is not unusual because it is more than 0.01.
In a study of 235,722 cell phone users, it was found that 109 developed cancer of the brain or nervous system. Assuming that cell phones have no effect, there is a 0.000477 probability of a person developing cancer of the brain or nervous system. We therefore expect about 113 cases of such cancer in a group of 235,722 people. Estimate the probability of 109 or fewer cases of such cancer in a group of 235,722 people. What do these results suggest about media reports that cell phones cause cancer of the brain or nervous system? (a) P(x ≤ 109) = (Round to four decimal places as needed.)
A group of four workers is needed to participate in a workplace joint health and safety committee. The following volunteers are available: 3 from the human resources department, 2 from accounting and finance, 4 from marketing, and 3 from manufacturing. What is the probability of selecting no volunteers from accounting and finance?
After being rejected for employment, Appa Love learns that the Old West Credit Company has hired only 5 women among the last 25 new employees. She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women. Help her address the charge of gender discrimination by finding the probability of hiring 5 or fewer women when 25 people are hired, assuming that there is no discrimination based on gender. That is, address the claim that the proportion of females hired is 50%. Use the sample data stated above. a. The null and alternative hypothesis would be: Ho : μ 0.5 H₁: p > 0.5 H₁ μ Σ+ Σ Α
Pakistan Cricket Board in its central contract places its International players in four different categories, Category A, Category B, Category C and Emerging Players’ Category. Batsmen who are going to play in upcoming series fall into these four categories in the proportions 35 percent, 30 percent, 25 percent and 10 percent. The probability that a Category A player will got out without scoring a run is 0.01, for Category B player its 0.05, for Category C player its 0.02 and the probability that an emerging player will got out on Zero is 0.08. During a match after the fall of second wicket captain sent Muhammad Rizwan on batting and he got out on Zero. What is the probability that Muhammad Rizwan is; In Category A In Category B In Category C
The center for the study of american electorate indicated that 64% of the voting- age voters cast ballots in the 2008 presidential election. It also indicated in the west, 34.6% of voting-age voters voted for a democrat as a representative, an increase from 30.8% in 2004 A start up company in San Jose, California has 10 employees Question: Eight of the employees votes for a Democratic Representative. determine the probability that at least 8 of the employees would vote for the democratic if they followed the national trend. (Hint: find P(X> or equal 8) using as probability of success the probability that represent the voters cast ballots) (4 decimals) Answer: The probability that at least 8 employees would vote for the democratic if they followed the national trend is :
In 2014, the percentage of the U.S. population that speak English only in the home is 78.9%. Choose 15 U.S. people at random. What is the probability that exactly one-third of them speak English only? At least one-third? What is the probability that at least 9 do not speak English in the home?
C) Do males or females do a better job of detecting cheating? Justify your answer using conditional probability nation.
The issue of corporate tax reform has been cause for much debate in the United States. Among those in the legislature, 27% are Republicans, 56% are Democrats and 17% are independents. It is reported that 34 % of the Republicans, 41 % of the Democrats and 25 % of Independents favor some type of corporate tax reform. Suppose a member of Congress is randomly selected and he/she is found to favor some type of corporate tax reform. What is the probability that this person is a Democrat? Round your answer to four decimal places. Do not round intermediate value(s) Answer P(Democrat | Favor) = Keypad Keyboard Shortcuts Tables
Twenty five percent of the employees of a company have a bachelor's degree. Of those, 35% are in a supervisory position. Of those who do not have a bachelor's degree, 18% are in a supervisory position. What is the probability that a random selected employee is in a supervisoryposition? What is the probability that a randomly selected supervisor has a bachelor's degree?