See attached graph for problem 3. 1.The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is mound shaped and symmetric with a mean of 25.9 mpg and a standard deviation of 9.5 mpg. If 30 such cars are tested, what is the probability the average mpg achieved by these 30 cars will
Problem Set 2 Acme Tires manufactures two types of tires: high performance tires and all weather tires. 33% of the tires they produce are high performance tires. They offer a 40,000 mile warrantee on each of the tires they sell, and 89% of all tires exceed 40,000 miles of tread life. Furthermore, 30% of all the t
In the judicial case of United States vs. City of Chicago, discrimination was charged in a qualifying exam for the position of Fire Captain. In the table below Group A is a minority group and Group B is a Majority Group. Passed Failed Group A 10 14 Group B 417 145 A) If one of the test subjects is randomly selected,
Suppose I put 6 cards face-up on a table [you know, from a regular deck of playing cards -- hearts, diamonds, spades, clubs; Ace, 2, 3, ..., 10, J, Q, K] and asked you to pick one of the 6 cards without telling me which one it was. That is, I select 6 of the 52 possible card and place them face-up on a table. The other 46 cards
In a recent survey 35 percent indicated chocolate was their favorite flavor of ice cream. Suppose we select a sample of 10 people and ask them to name their favorite flavor of ice cream. a. How many of those in the sample would you expect to name chocolate b. What is the probability exactly four of those in a sample named cho
Please provide an answer to the questions below, if possible using Excel and show your formulas. A salesperson goes door-to-door in a residential area to demonstrate the use of a new household appliance to potential customers. She has found from her years of experience that after demonstration, the probability of purchase (lo
Please answer those questions in Excel only, in Excel please show your work, steps and formulas. 4. In a study conducted for the State Department of Education, 30% of the teachers who left teaching did so because they were laid off. Assume that we randomly select 10 teachers who have recently left their profession. Find the p
Select the correct answer and explain briefly why 1. Two mutually exclusive events having positive probabilities are ______________ dependent. A. Always B. Sometimes C. Never They are necessarily dependent because the occurrence of one (seriously) affects the probability of the other (makes it zero). 2. If P(A)>0 a
Please indicate whether below statements are True or False? (explain shortly why): 1. If events A and B are independent, then P(A/B) is always equal to zero. 2. If events A and B are mutually exclusive, then P(A/B) is always equal to zero. 3. If the probability of success is 0.4 and the number of trials in a binomial
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
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
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.
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
10. Nationwide, GMAT scores in a particular year had an average of 528 with an SD of 112 and the scores roughly followed a normal curve. If a student scored 600 on the exam, approximately what percentage of test-takers scored below this student? a. 64% b. 70% c. 74% d. 78%
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
It has been reported that 3% of all cars on the highway are traveling at speeds in excess of 70 mph. If the speeds of four random automobiles are measured via radar, what is the probability that at least one car is going over 70 mph? Place your answer, rounded to four decimal places.
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
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_______.
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
The amount of pyroxidine (in grams) per multiple vitamin is normally distributed with a mean = 110 grams and a variance = 25 grams. A sample of 25 vitamins is to be selected. What is the probability that the sample mean will be greater than 100 grams?
A box contains ten $1 bills, five $2 bills, three $5 bills, three $10 bills, and three $100 bills. A person is charged $20 to reach into the box while blindfolded and pull out one bill. Find the person's expected average winning or profit each time the game is played. For this game to be fair, how much should the person be charg
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
3-5 An airline tracks its flight arrivals. Over the past 6 months, 65 flights on one route arrived early, 273 arrived on time, 218 where late and 44 were canceled. a. What is the probability that flight is early? On time? Late? Cancelled? b. Are these outcomes mutually exclusive? c. What is the probability that a flight
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
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
The salaries of the employees of a corporation are normally distributed with a mean of $25,000 and a standard deviation of $5,000. a. What is the probability that a randomly selected employee will have a starting salary of at least $31,000? b. What percentage of employees has salaries of less than $12,200? c. What are the
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
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
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?