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# Probability

### Quantitative Methods - Probability Questions

1. The table below gives the qualification profile of the managers of a certain company: QUALIFICATION SECTION HEAD DEPARTMENT HEAD DIVISION HEAD MATRIC 26 12 10 DIPLOMA 18 2

### Assume that an exponential probability distribution applies to the waiting times.

Please show all work. 11.To harvest all the wheat from a field requires 5 sunny days (although not necessarily consecutive days) and a farmer only has one week left to get the job finished. Given that the probability of any day being sunny is 0.7, calculate the probability that the farmer will be able to get the wheat harves

### Employees of a local university has been classified

Bus stats homework 2 6) employees of a local university has been classified according to gender and job type. The following Job Male female Faculty 110 80 Salaried staff 30 50 Hourly staff 60 40 If an employee is selected at random, what probability that the employee is male and salaried? 3 dec. 7) Employees of a

### Average Profit and Basic Probability

1. A ski resort profits \$1,200,000 during a good winter with lots of snow. The resort has a loss of \$450,000 otherwise. The resort's historical climate data suggests that the probability of a good winter with lots of snow during any given year is 60%. What is the expected profit for the ski resort? Show significant work to justi

### Is lack of sleep causing traffic fatalities?

Please show work. 45. Is lack of sleep causing traffic fatalities? A study conducted under the auspices of the National Highway Traffic Safety Administration found that the average number of fatal crashes caused by drowsy drivers each year was 1550 (Business Week, January 26, 2004). Assume the annual number of fatal crashes

### A Myrtle Beach resort hotel has 120 rooms. In the spring months, hotel room occupancy is approximately 75%.

Please show work. 31. A Myrtle Beach resort hotel has 120 rooms. In the spring months, hotel room occupancy is approximately 75%. a. What is the probability that at least half of the rooms are occupied on a given day? b. What is the probability that 100 or more rooms are occupied on a given day? c. What is the probabi

### Normal Distribution and Final Examination Probability

Please show work. 23. The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. Answer the following questions. a. What is the probability of completing the exam in one hour or less? b. What is the probabil

### Normal probability calculation ..

Please show work. 5. The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards (Golfweek, March 29, 2003). Assume that the driving distance for these golfers is uniformly distributed over this interval. a. Give a mathematical expression for the probability density function of driving di

### Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati to Tampa

Show work please. 3. Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati to Tampa. Suppose we believe that actual flight times are uniformly distributed between 2 hours and 2 hours, 20 minutes. a. Show the graph of the probability density function for flight time. DON'T WORRY ABOUT

### Simulation Problem - The service time at an inspection station is defined by the following distribution

The service time at an inspection station is defined by the following distribution. Service time(min) Probability Cum. Prob. RN Range 35 0.10 ? ? 45 0.20 ? ? 55 0.30

### A metropolitan school system consists of three school districts

A metropolitan school system consists of three school districts-norths, south, central. The north district contains 25% of all students, the south district contains 40%, and the central district contains 35%. A minimum-competency test was given to all students; 10 % of the north district students failed, 15% of the south dis

### Consider a binomial experiment with two trials and p = .4

The use of the tables is fine for b, c, and d. 25. Consider a binomial experiment with two trials and p = .4. a. n/a b. Compute the probability of one success, f(1). c. Compute f(0). d. Compute f(2). e. Compute the probability of at least one success. f. Compute the expected value, variance, and standard deviatio

### Mean of Distribution

The probability distribution for the possible results of an experiment is given, Determine the mean of the distribution. X P(X) 1 0.100 3 0.300 5 0.425 7 0.175 Round mean to nearest 10th

### Probability Distribution - The estimate of the population proportion is to be within plus or minus .10

The estimate of the population proportion is to be within plus or minus .10, with a 99 percent level of confidence. The best estimate of the population proportion is .45. How large a sample is required?

### Probability Distribution - A population is estimated to have a standard deviation of 10.

A population is estimated to have a standard deviation of 10. We want to estimate the population mean within 2, with a 95 percent level of confidence. How large a sample is required?

### Probability Distribution and Standard Error

A sample of 10 observations is selected from a normal population for which the population standard deviation is known to be 5. The sample mean is 20. a. Determine the standard error mean. b. Explain why we can use formula (9-1) to determine the 95 percent confidence interval, even though the sample is less than 30. c. Determ

### Probability Distribution and Analysis

According to an IRS Study, it takes an average of 330 minutes for taxpayers to prepare, copy, and electronically file 1040 tax form. A consumer watchdog agency selects a random sample of 40 taxpayers and finds the standard deviation of the time to prepare, copy and electronically file form 1040 is 80 minutes. a. What assumptio

### Normal Probability using Z Score

If Z is a standard normal variable, find the probability that Z lies between 0 and 3.01. The amount of snow fall falling in a certain mountain range is noramlly distributed with a mean of 76 inches, and a standard deviation of 14 inches. What is the probability that the mean annual snowfall during 49 randomply picked years w

### A family has 4 children. The probability of having a boy is 50% (girl is the same 50%)

Dear OTA, Please help me with steps. Thanks A family has 4 children. The probability of having a boy is 50% (girl is the same 50%). 1) What is the probability that the family only has one boy? 2) What is the probability that the family only has three boys? 3) What is the probability that the family has at least one

### Three brands of cold medicine for Infants are stacked on a drug store's shelves

Dear OTA, Please explain with steps Thanks Question Three brands of cold medicine for Infants are stacked on a drug store's shelves in roughly equal amounts, but in locations with different accessibility and visual observability. The three brands were recently studied by an independent medical research organizatio

### Joint PDFs

Respond to OTA: Basically the first equation is the joint pdf of a sample maximum and minimum - if I am not wrong - it is just the formula. The problem is finding the joint pdf from the sample size drawn from the pdf (2nd equation given between the bolded text ). So basically A(1) and A(n)corresponds only to the 2nd equation

### Normal Distribution, Probability Density Function, Frequency Distribution

Dear OTA, Please explain with necessary steps. Thanks 1. In its standardized form, the normal distribution: A. has a meaning of 0 and a standard deviation of 1 B. has a mean of 1 and a variance of 0 C. has a total area equal to 0.5 D. is left-skewed 2. If a particular data set is approx. normally distributed, we

### Normal Probability

The annual income of a large group of supervisors at Belco Industries follows the normal distribution. The mean amount earned yearly is \$48,000 and the standard deviation is \$1,200. The length of service of the same supervisors also follows the normal distribution, with a mean of 20 years and a standard deviation of 5 years. Joh

### Random Sample - In a poll to estimate presidential popularity, each person in a random sample of 1,000 voters was asked to agree with one of the following statements

9.48. In a poll to estimate presidential popularity, each person in a random sample of 1,000 voters was asked to agree with one of the following statements: 1. The President is doing a good job. 2. The President is doing a poor job. 3. I have no opinion. A total of 560 respondents selected the first statement, indicat

2. The Retread Tire company recaps tires. The fixed annual cost of the recapping operation is \$60,000. The variable cost of recapping a tire is \$9. The company charges \$25 to recap a tire. a. For an annual volume of 12,000 tires, determine the total cost, total revenue, and profit. b. Determine the annual break-even volume

### Place-Plus, a real estate development firm is considering several alternative development projects.

Please see attached file for full problem description. 13. Place-Plus, a real estate development firm is considering several alternative development projects. These include building and leasing an office park, purchasing a parcel of land and building an office building to rent, buying and leasing a warehouse, building a strip

### Determining Probabilities - Ancorage, Alaska

If you can show me how you did each step that would be great. Assume that the population of Ancorage, Alaska is 265,000. The City of Anchorage is made up of 40% Females. Further assume we take a random sample of 11 individuals. (Assume 60% are Males).Determine the probabilties. A.That all are males B.Thats between 5 and

### Business analyst has estimated the probabilities for a change

Please see attached file. a) What is the value of the missing probability? b) What is the probability of a positive rate rise? c) Which of the four announcements is most likely? d) What is the expected value for this distribution?

### A grocery chain wants to taste-test a private label cola drink.

A grocery chain wants to taste-test a private label cola drink. A tester is given eight unmarked glasses, four containing the private-label drink and four containing a nationally advertised cola. The tester is asked to identify the four glasses containing the private-label drink. How many different choices of four glasses can

### Multiple Choice - What scale of measurement are these numbers considered?

1-1 The members of each basketball team wear numbers on the back of their jerseys. What scale of measurement are these numbers considered? A. Nominal B. Ordinal C. Interval D. Ratio E. None of the above 1-2 Respondents were asked, "Do you now earn more than or less than you did five years ago?" What is this level