our ac XOutdoor Boys - Yo XDocumentpermutation - Goc XQ SearchGan alternative met X0.15*0.45 - GooglexO8 https://blackboard.le.ac.uk/ultra/courses/_63058_1/outline/edit/document/_3914128_1?courseld=_63058_1&view=contentwhat happened to X4. A large corporation organised a ballot for all its workers on a new pension scheme. It wasfound that 60% of all night-shift workers favoured the plan and that 35% of all femaleworkers favoured the plan. Also, 45% of all employees are night-shift workers, and 25%of all employees are women. Finally, 15% of night-shift workers are women.ChatGPT(a) What is the probability that a randomly selected employee is a woman in favour ofthe scheme?SAMSUNG(b) What is the probability that a randomly chosen employee is either a woman or anight-shift worker or both?2(c) What is the probability that a female employee is a night-shift worker?(d) If 60% of all male employees favoured the scheme, what is the probability that arandomly chosen employee both does not work night-shifts and does not favour thescheme?3X422:1611/01/2024

A large corporation conducted a ballot for all its workers to vote on a new pension scheme.The…

Answered: 4. A large corporation organised a…

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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7. Aaron purchased 19 video games. The defect rate for these types of video games is 1.8%. What is the probability that at least three of the video games he purchased are defective?
Just before a city referendum on a school budget, a local newspaper polls 450 voters in an attempt to predict whether the budget will pass. Suppose that, unknown to everyone, the budget actually has the support of 52% of the voters. What is the probability the newspaper's sample will lead the newspaper to predict defeat of the referendum, that is, what is the probability that the newspaper's sample results in a sample proportion p̂ less than 0.50 in favor of the referendum?
a) A recent poll found that the mayor of a small town had the approval of 52% of the population. A new poll is being conducted one week before the election with a total of 324 randomly selected individuals. What is the probability that this poll finds the mayor’s approval below 50% ? b) It is estimated that 13.1% of Americans are left handed. What is the probability that a random sample of 100 Americans has between 10 and 15 left-handed people?
32. A field trip in Bukidnon was organized by an institution as part of their goals to extend community engagement to their pupils. However, a tragic accident happened on their way to their destination. After the rescue operation, the team tallied the number of survivors and missing persons. (a) If we randomly select someone who was a part of the field trip, what is the probability of getting a woman, given that the selected person was rescued? (b) What is the probability of getting a boy or girl, given that the randomly selected person is missing? Men Women Boys Girls Rescued 20 10 7 16 Missing 15 13 10 8.
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.
10. A bank classifies borrowers as high risk or low risk. Only 15% of its loans are made to those in the high-risk category. Of all its loans, 5% are in default, and 40% of those in default were made to high-risk borrowers. What is the probability that a high-risk borrower will default?
7. State College is playing a rival team for the football championship. If State's first- string quarterback is healthy, State College has a 75% chance of winning. If they have to start their backup quarterback, their chances of winning drop to 40%. The team physician says that there are a 70% chance that the first-string quarterback will play. a. What is the probability that State will win that game? b. Suppose that you miss the game but you read in the headlines of Sunday's paper that State won. What is the probability that the second-string quarterback started?
3. A study conducted at a large hospital found that 27.8 percent of all patients admitted to the hospital's ICU remained in the ICU for less than 24 hours. (A) If 8 patients are selected at random from the ICU patients at the hospital, what is the probability that 2 or fewer of them remained in the ICU for less than 24 hours? (B) Suppose that 20 patients are selected at random from the ICU patients at the hospital. Calculate the mean and standard deviation of the number of these patients who remained in the ICU for less than 24 hours. (C) Another result of the study was that for elective (non-emergency) admissions to the hospital's ICU, the length of the stay in the ICU had a mean of 18.9 hours and a standard deviation of 3.9 hours. Assuming that the length of stay in the ICU for elective admissions is normally distributed, what proportion of elective admissions remained in the ICU for less than 24 hours?
3. Twenty five percent of a town's voters favor letting a major discount store move into their neighbourhood, 60% are against it and 15% are indifferent. What is the probability that a randomly selected voter from this town will either be against it or be indifferent?
a. One out of four mini-vans sold by a nationwide auto dealer has a hidden defect in its transmission. i. What is the probability that a randomly selected purchaser of two mini-vans will wind up with at least one mini-van with a defective transmission? ii. What is the probability that a randomly selected purchaser of two mini-vans will wind up with exactly one mini-van with a defective transmission?
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?

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