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# Probability

### Sampling Distribution of Sample Proportion..

1) A store has determined that 25% of all sales are credit sales. A random sample of 75 sales is selected. What is the probability that the sample proportion will be: a) greater than .34? b) between .196 and .354? c) less than .25? d) less than .10? 2) 10% of items produced by a machine are defective. A random sample of 1

### Determining Aspects of a Queuing Problem

Automobiles arrive at the drive-through window at a post office at the rate of 4 every 10 minutes. The average service time is 2 minutes. the Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed. (A) what is the average time a car is in the system? (b) what is the aver

### Statistics: 17 problems: Probabilities, normal curve, z-score, lottery probabilities

1) Empirical probabilities are: A) based on the normal curve B) deeply rooted in probability C) scores from a sample D) essentially percentages based on a large number of observations 2) Roughly _________________ percent of the total area under the normal curve rests between the mean and one standard deviation above.

### Normal Distribution for age of population in Florida subdivision

Assume that, among residents of a large Florida subdivision, the population mean age is 65 years old, the population standard deviation is 2 years, and that the age variable is distributed normally. What is the probability that a randomly chosen individual would be between 64 and 66 years of age? What is the probabilit

### Calculate product demand in normal curve; calculate expected warranty service

8. The weekly demand for a product follows a normal curve with an average of 1000 units and a standard deviation of 200 units. In how many weeks during a typical 52-week year would be below 900 units? a. 12 weeks b. 14 weeks c. 16 weeks d. 18 weeks 9. The lifetime of a particular product made by a company is Normall

### Critical Thinking for Hamilton County Judges: Rank the cases

See attached file. Mod 3 Critical Thinking Case: Hamilton County Judges. Please provide a Managerial Report that includes: The probability of cases being appealed and reversed in each of the three different courts The probability of a case being appealed for each judge The probability of a case being reversed fo

### Probability

1) 60% of students are from the south. 60% of them passed the test. 30% are from the north, and 70% of them passed the test. 10% are foreign, and 90% of them passed the test. If a randomly selected student passed the test, the probability that the student is foreign is_______.

### Poisson & Standard Normal Probabilities

1) A survey of citizens over 60 years old who have too much money to qualify for medicaid, but have no health insurance. The ages of the 25 uninsured citizens are: 60 61 62 63 64 65 66 68 68 69 70 73 73 74 75 76 76 81 81 82 86 87 89 90 92 We know that 1/4 of the citizens are below 65.5 years of age. a. What type of shape

### Binomial Probability in Lawn Mower Manufacturers

See attached data file. A manufacturer of home and industrial lawn and garden equipment collects a variety of data from special studies, many of which are related to quality control. The company routinely collects data about functional test performance of its mowers after assembly; results from the past 30 days are give in t

1) The students in a math class took the Scholastic Aptitude Test (SAT). Their math scores are shown below. Find the mean score. 552 593 358 352 537 349 357 596 470 482 2) Suppose that there are 400 students in your school class. What class rank is the 20th percentile? 3) The lifetimes of l

### Probability Corporations Employees

1) A corporation has 15,000 employees. Sixty-two percent of the employees are male. Twenty-three percent of the employees earn more than \$30,000 a year. Eighteen percent of the employees are male and earn more than \$30,000 a year. a) If an employee is taken at random, what is the probability that the employee is male? b) If an

### Probability of Receving a Scholarship

1) Assume you have applied for two scholarships, a Merit scholarship (M) and an Athletic scholarship (A). The probability that you receive an Athletic scholarship is 0.18. The probability of receiving both scholarships is 0.11. The probability of getting at least one of the scholarships is 0.3. a) What is the probability that y

### Quantitative Method Simulation Problem for Kodak

See attached template. Optics Manufacturing In the late 90's Kodak was bidding for a contract with a major research facility on the West Coast to build large-scale optics for the National Ignition Facility. These optics were roughly two feet by two feet and had to be of extremely high quality. My role in this contract prop

### Break-even, probabilities, Std.Dvt, mean,

Please assist if is possible with a neat step by step calculations . Thanks! 1) a) In a business environment, the fixed cost is \$2,000.00 and the variable cost is \$20.00. As we know, the brake even volume v and the brake-even price p are related by formula: V=2000/P-20 The formula describe the relationship between the abov

### Poisson Probability Insurance

An insurance company has determined that each week an average of nine claims are filed in their Atlanta branch. What is the probability that during the next week a. exactly seven claims will be filed? b. no claims will be filed? c. less than four claims will be filed? d. at least eighteen claims will be filed?

### Normal Probability of mean download time for the H&R Block website

The mean download time for the H&R Block website, www.hrblock.com is 2.5 seconds. Suppose that the download time is normally distributed, with a standard deviation of 0.5 second. What is the probability that a download time is: a) Less than 1 second b) Between 0.5 and 1.5 seconds c) Above 0.5 seconds? d) Above how ma

### Statistics: 13 problems

See attached file for better format. 1. A set of 50 data values has a mean of 26 and a variance of 9. I. Find the standard score (z) for a data value = 25. II. Find the probability of a data value > 25. 2. Find the area under the standard normal curve: I. to the right of z = 0.54 II. to the left of z =

### Bill's Manifolds Inc. Simulation: Manufacturing time, shipping time- Simulate Total Time in Bill's Manifolds, Inc for 10 manifold orders.

Work the following problem using an Excel. Annotate and highlight the spreadsheet with the answers required below. Bill's Manifolds, Inc. produces made to order special manifolds for motorcycles. The total time from receipt of order until the customer receives the product consists of two phases: 1) manufacturing time and 2

### Probability

1. Assume that a procedure yields a binomial distribution with a trial repeated n times. Use a binomial probabilities table to find the probability of x successes given that probability p of successes on a given trial when: n=2, X=0, and p=.90 2. Three cards selected from a standard 52 card deck without replacement. Th

### Probability of Increase Actions

1) A box contain 90 good times and 10 bad items. Thus the probability of randomly choosing a good item from this box is 0.9. A second box also contains 90 good items and 10 bad items. An item is randomly selected from the second box and is placed in the first box. Does this action increase the likelihood of picking a good item

### Cleveland Tool Works probability of defective units

A machining operation at Cleveland Tool Works (Process A) produces small parts, 10% of which are defective. A similar operation (Process B) produces small but unrelated parts. Process B is considered to be in control if it produces no more than 10% defective units. Sampling for Process A consists of selecting 20 units at specifi

### Probability of Gender and Drinking Level

Non drinker regular drinker heavy drinker total man 135 45 5 185 woman 187 21 13 221 total 322

### Continuous Uniform Distributions

See the attached file. 1. Suppose X ~ U[-2, 2]. For what a,b is a+bX~U[0,1]? 2. A city bus is supposed to arrive at a fixed stop at 12:00 noon, but its arrival time is uniformly distributed between 11:57 AM and 12:04 PM. If it has not yet arrived at 12:01 PM, what is the probability that it will arrive by 12:02 PM? 3. The con

### Statistics

1. A volunteer ambulance service handles 0 to 5 service calls on any given day. The probability distribution for the number of service calls is as follows. Number of Service Calls Probability 0 .10 1 .15 2 .30 3 .20 4 .15 5 .10 a. Is this a valid probability distribution? Why or why not. b. What is the probability o

### Statistics: Population mean, Z scores, mean distribution, probability, normal distribution

Problem Set 2: Chapter 5, problems 6a, 6b, 24, 26; 6. For a population with a mean of µ =100 and standard deviation of ? = 10, a. Find the z-score for each of the following X values. X = 105 X = 120 X = 130 X = 90 X= 85 X = 60 b. Find the score (X value) that corresponds to each of the following z-scores. z = -1.

### probability and expectations

The probability in detecting a crack in an airplane wing= probability of inspecting a plane with a wing crack (P1) x probability of inspecting the details in which a crack is located (P2) x probability of detecting the damage (P3) Find the probability of detecting a crack if (P1=.9, P2=.8 & p3=.5)? If 50 planes are inspected

### Construct a decision tree for medical professionals for constructing a private clinic.

A group of medical professionals is considering the construction of a private clinic. If medical demand is high (i.e. there is a favorable market for the clinic), the physicians could realize a net profit of \$100,000. If the market is not favorable, they could lose \$40,000. Of course, they don't have to proceed at all, in which

### Tree diagram, probability in card selection, math instructors

2. A mini license plate for a toy car must consist of three numbers followed by a letter. Each number must be a 1, 3, or 5. Repetition of digits is NOT permitted. Each letter must be an A, B or C. - Use the counting principle to determine the number of points in the sample space. - Construct a tree diagram to represent this

### Counting Principle, Tree Diagram, Probability, Venn Diagram

2. A mini license plate for a toy car must consist of a number followed by two letters. Each letter must be a C, A or R. Each number must be a 3 or 7. Repetition of letters is permitted. Use the counting principle to determine the number of points in the sample space. Construct a tree diagram to represent this situation Li

### Probability function, distribution, value of random variable

Answer the following questions and show your work. 1. Test the following function to determine whether it is a probability function: P(x) = (x²+5)/80 ; for 1,2,3,4, or 5. 2. A small bag of M&M candies has the following assortment: red(10), blue(2), orange(5), brown(12), green(0), and yellow(8). Give the probability dis