d) What is the probability that at least two different shifts will be represented among theselected workers?e) What is the probability that at least one of the shifts will be unrepresented in the sample ofworkers? Ex 1: A production facility employs 20 workers on the day shift, 15 workers on the swing shift,and 10 workers on the graveyard shift. A quality control consultant is to select 6 of these workers forin-depth interviews. Suppose the selection is made in such a way that any particular group of 6 workershas the same chance of being selected as does any other group (drawing 6 slips without replacementfrom among 45).

Probability is the likelihood occurrence of the event. Possible arrangement of observation can be…

Answered: d) What is the probability that at…

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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2) A company was examining the perception of sports fans in a specific region and outside of that region to see if people viewed a specific team favorable or unfavorable. It was previously determined that given a person was from the region the probability they considered the team favorable was 0.7, and given that the person was not from the region, the probability they considered the team unfavorable was 0.28. Consider a collection of 35 people were surveyed, where 28 were from the region, and 7 people were from outside the region. a) Given that a randomly selected response from the sample was favorable, what is the probability they were from the region? b) Given that a randomly selected response from the sample was not favorable, what is the probability they were from the region?
Compute the probability that a randomly selected member stretched or sustained an injury.
What is the probability a randomly selected students has an Apple product but not a Microsoft product?
13.Imagine a population of balls in which all are red except for three green ones. If we randomly sample two balls, without replacement, and the probability of getting green both times is p=0.025, which of the following is the number of red balls in the population?
4. According to the Red Cross Blood Organization, the blood type most requested by hospitals is type O. About 45% of the North American population has blood type O. a) If 4 blood donors are selected at random, create a probability distribution histogram to show the probability of x, where x represents the number of donors with blood type O. b) If 7 blood donors are selected at random, what is the probability that exactly 3 of them will have blood type O. c) If 10 blood donors are selected at random, what is the probability that exactly 6 will have other blood types? d) If 15 blood donors are selected at random, what is the probability that at least one willI have blood O?
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.
28.) A Certain Blood Group type can be find only in 0.05% of the people. If the population of a randomly selected group is 3000. What is the Probability that at least a people in the group have this rare blood group.
Suppose a population consists of 10 items, four of which are classified as defective and six of which are classified as non-defective. What is the probability that a random sample of size three will contain two defective items?
2) The probability that a randomly selected student is female given that the student received a business degree, is
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)
2. A container includes six components from supplier A, seven from supplier B, and eight from supplier C. What is the likelihood that each supplier will have at least one component examined if four of the components are chosen at random for testing?
16. Ten percent of the students at a certain college are non-resident. A reporter for the student paper would like to interview at least 5 non-residents. If the reporter randomly selects 100 names from the student directory and begins contacting them, what is the probability that she will contact at least 5 non-resident students?

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d) What is the probability that at least two different shifts will be represented among the selected workers? e) What is the probability that at least one of the shifts will be unrepresented in the sample of workers?