Among the 300 employees of a company, 240 are union members while the others are not. Let X be the number of union members out of 8 employees randomly selected for a committee.
A. Find the exact probability that all 8 employees selected are union members?
B. Approximate the probability that one union member is selected to serve on the committee?
Among the 300 employees of a company, 240 are union members while the others are not....
A company has 10 male employees and 8 female employees. A grievance committee is to be established with 3 employees. Let X represent the number of males among the 3 employees selected. Find the probability that at most one male employee was selected, that is, find P(X≤1)
(1 point) Rework problem 22 from section 2.4 of your text, involving the assignment of tasks to student union board members. Assume that there are 16 board members: 12 females, and 4 males including Carl. There are 3 tasks to be assigned. Note that assigning the same people different tasks constitutes a different assignment. (1) Find the probability that both males and females are given a task. (2) Find the probability that Carl and at least one female are given...
Congress is made up of the House of Representatives and the Senate. Members of the House of Representatives serve two-year terms and represent a district in a state. The number of representatives for each state is determined by population. States with larger populations have more representatives than states with smaller pulations. The total number of representatives is set by law at 435. Members of nate serve six-year terms and represent a state. Each state has 2 senators, total of 100...
1. The following is not a way the parties, the company management and the employees’ union, can select an arbitrator: A. They agree to a single umpire. B. The company management unilaterally determines who the arbitrator will be based on their management rights. C. They agree to a standing panel from which arbitrators are selected as cases arise. D. Using one of any number of agencies, private and public, that maintain rosters of arbitrators, vetted by the agency’s standards and...
Congress is made up of the house of representatives and the senate- Please help with questions 5, 6, 7 and 8: Congress is made up of the House of Representatives and the Senate. Members of the House of Representatives serve two-year terms and represent a district in a state. The number of representatives for each state is determined by population. States with larger populations have more representatives than states with smaller pulations. The total number of representatives is set by...
A company offers prizes to their employees depending on the time it takes them to complete an assignment. Employees receive a 300, 200 or 100 euros gratification if the assignment is completed in less than 10 hours, between 10 and 15 hours or in more than 15 hours, respectively. The probability of completing the task in each of these cases is 0.1, 0.4 and 0.5 respectively. a) Find the probability distribution function, the cumulative probability function and the expected value...
A company maintains three offices in a certain region, each staffed by two employees. Information concerning yearly salaries (1000s of dollars) is as follows: Office Employee 1 Salary31.7 35.6 32.2 35.6 27.8 31.7 4 (a) Suppose two of these employees are randomly selected from among the six (without replacement). Determine the sampling distribution of the sample mean salary x. (Enter your answers for p(x) as fractions.) 31.95 29.7517 195 33.65 35.60 31.70 p(x) 15 15 (b) Suppose one of the...
A certain company has an equal number of male and female employees. Suppose it is known that 7% of male employees at the company are color-blind. Suppose also that 4% of all employees at the company are known to be color-blind. (a) Find the probability that a randomly selected employee is both color-blind and male. (b) Are the events “male” and “color-blind” Independent? Why or why not? Justify your answer.
80% of the employees in a specialized department of a large software firm are computer science graduates. A project team is made up of 8 employees.Part a) What is the probability to 3 decimal digits that all the project team members are computer science graduates? Part b) What is the probability to 3 decimal digits that exactly 3 of the project team members are computer science graduates? Part c) What is the most likely number of computer science graduates among the 8 project team members?...
A local real-estate company invests in retirement accounts for all full-time employees. The company automatically deposits an amount equal to 3% of the employee’s base salary into a 401K account through an investment firm. Employees of the company may choose to have a portion of their pay deposited into these accounts as well, but they are not required to do so. The company has access to the annual return rate data on all 254 of their employee’s accounts for the...