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Probability

Probability using the standard normal distribution

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%

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

Probability question: Example of speeding cars

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.

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

Probability of obtaining a given sample mean

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?

Person be charged to play - statistics

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

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

Statistical questions are addressed.

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

Statistics: Airline tracks flight arrivals

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

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

Probability problem: Salary example

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

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?

Probability - Auto for Southern State

In a southern state, it was revealed that 5% of all automobiles in the state did not pass inspection. Of the next ten automobiles entering the inspection station, a. what is the probability that none will pass inspection? b. what is the probability that all will pass inspection? c. what is the probability that exactly two

Calculation of the Probability of Tennis Serves

A certain tennis player makes a successful first serve 67% of the time. Assume that each serve is independent of the others. If she serves 8 times, what's the probability that there are no more than three serves in?

Inference about a Population Proportion

Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 200 times and got 83 heads. How significant is this evidence against equal probabilities? Use the following four step process: STATE: What is the practical question that requires estimating a parameter? PLAN: Identify t

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

Calculate contractor's expected net profit.

A building contractor pays $500 to bid on a contract. If he gets the contract, the probability of which he estimates to be 0.70, he will make a profit of $50,000. On the other hand, if he does not get the contract, he forfeits his $500. Find the contractor's expected net profit.

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 =

Cost for family of four to attend major league baseball game

Team Marketing Report, a sports-business newsletter, estimates that the average total cost for a family of four to attend a major league baseball game is $132. Assume that a normal distribution applies and that the standard deviation is $10. What is the probability that the cost is between $100 and $150?

what is the probability that three labs will detect drugs

Employee drug testing is done in the following manner. An employee is chosen at random and a urine specimen is taken. The specimen is divided into three vials and each vial is sent to an independent lab. If each lab has a 0.97 probability of detecting illegal drugs when they are present, what is the probability that all three la