Suppose an unfair coin comes up heads 65.2% of the time if it is flipped. If the coin is flipped 14 times, what is the probability that: a) it comes up tails exactly 6 times? b) it comes up heads more than 11 times?
The weekly incomes of a large group of middle managers are normally distributed with a mean of $1,500 and a standard deviation of $150. Use the standard normal distribution to calculate the following: 1. Find the probability that a particular weekly income selected at random is between $750 and $1,500. 2. What is the probabil
Public Private Total Northeast 6 14 20 Mideast 4 12 16 South 15 9 24 West 15 25 40 Total 40 60 100 The following contingency table above cross classifies institution of higher education in the United States by region and type. Suppose an institution of higher educat
A coin was flipped twenty times and landed heads fifteen times. Based upon this information, answer the following the question: If the coin is balanced (fair) what is the probability of a head on the toss? If the coin is not balanced (not fair), what is the probability of a head on the next toss? If a fair coin is flipped t
You are running a blood bank. Every month, a random number of hospital patients will need blood that you will supply. Also, every month, a random number of donors will come in and give blood. You goal is to provide enough blood on hand to supply those patients who need it. At the beginning of the current month you have no pin
In a classical ruin problem with two gamblers, the initial capital of one of the gamblers, Alice, is $90 and the combined initial capital (CIC) is $200. In each trial of the game, an unbiased coin is tossed - Alice wins when the coin shows heads. a) What is the expected duration of the game? b) Given the same CIC, how much
Prob 1. Acceptance sampling is a statistical method used to monitor the quality of purchased parts and components. To ensure the quality of incoming parts, a purchaser or manufacturer normally samples 20 parts and allows 1 defect. a. What is the likelihood of accepting a lot that is 1% defective? b. If the quality of the inco
1) Best Electronics Inc. offers a "no hassle" returns policy. The number of items returned per day follows the normal distribution. The mean number of customers returns is 10.3 per day and the standard deviation is 2.25 per day. a. In what percent of the days are there 8 or fewer customers returning items? b. In what pe
Suppose that the service rate to a waiting line system is 10 customers per hour (exponentially distributed). Analyze how the average waiting time is expected to change as the arrival rate varies from two to ten customers per hour (exponentially distributed).
7.84) Given a binomial random variable with n = 10 and p = .3, use the formula to find the following probabilities. a. P(X = 3) b. P(X = 5) c. P(X = 8) 7.97) In the United States, voters who are neither Democrat nor Republican are called Independents. It is believed that 10% of all voters are Independents. A survey aske
6. A coin is tossed 4 times. Let X denote the number of heads which appear in 4 tosses. a) Construct a probability distribution for X b) Find P(X>2) c) Find the expected value of X d) Find the variance and standard deviation of X 7. The probability that a randomly selected elementary or secondary school teacher from a cit
1) Sensitivity is: A. The probability that a test correctly classifies as positive those who have preclinical disease. B. The probability that a test correctly classifies individuals without preclinical disease as negative C. The probability that those who test positive have the preclinical disease D. The probability that t
The random variable x with probability distribution given below X = 2 3 4 7 10 P(x) = 0.1 0.2 0.4 0.1 0.2 (a) Determine the expected value of x (b) Determine the standard deviation of x (c) Given a sample size of 65, with sample me
A fair die is rolled two times. Let A be the event that the outcome of the first roll is an odd number. Let B be the event that the outcome of second roll is at least 5. A) What is the probability that the outcome of the second roll is at least 5, given that the first roll is an odd number? B) Are A and B independent? Why o
The police are looking for a man who wears size 12 shoes and drives a black car. They estimate that 1 in 10 men wears size 12 shoes, and that 1 in 8 men drives a black car. If one man is chosen at random, what is the probability that he matches the description.
A prestigious university requires a score of at least 750 on a graduate exam for admission to its MBA program. Suppose the graduate exam is normally distributed with a mean of 500 and a standard deviation of 200. If a test taker is randomly selected, what is the probability he or she scores 750 or better?
A production process manufactures items with weights that are normally distributed with mean 16 pounds and standard deviation 0.15 pound. An item is considered to be defective if its weight is less than 15.8 pounds or greater than 16.2 pounds. Suppose that these items are currently produced in batches of 200 units. [Hint: F
How to develop a decision tree and the payoffs using the information given The Problem: Joe Morgan, an investment strategist has learned of a couple alternatives that his company can invest in. His firm has chosen to invest in real estate. Occasionally the firm will invest in commercial real estate, but mostly in residenti
Suppose you, as the manager of Tennessee Grilled Pork. would like to ensure you have enough cleaning staff for your dining room and would like to analyze data for customers who enter the restaurant to place and order and either eat in the restaurant or take their order to- go. If the probability that a customer will stay in the
probability density function - f(x) = { x^2/ 9 , 0<x<3 (x is greater than or EQUAL to 0 and less than or EQUAL to 3) { 0, otherwise Let Y= 9X/5 + 32. Find E(Y) and STD(Y).
Sample question: A study of the effect of college education on job satisfaction was conducted. A contingency table is presented below: Satisfied with job Not satisfied with job Total Attended College 325 190 515 Did not Attend 186 369 555 Total 511 559 1070
At a gathering consisting of ten men and twenty women, two door prizes are awarded. Find probability that both door prizes are won by men. The winning ticket is not replaced, is this event likely or unlikely to occur?
Can I have help solving this problem? The table below shows the soft drinks preferences of people in three age groups. cola Root beer Lemon-line Under 21 years of age 40 25 20 Between 21 and 40 35 20 30 Over 40 years of age 20 30 35 If one of the 255 subjects i
1. Orders for clothing from a particular manufacturer for this year's Christmas shopping season must be placed in February. The cost per unit for a particular dress is $20 while the anticipated selling price is $50. Demand is projected to be 50, 60, or 70 units. There is a 40 percent chance that demand will be 50 units, a 50 per
A large company is planning to launch a new product in the market. However, the company is not sure about the state of the economy and its impact on the return on the capital investment associated with this new product. A key analysis in this regard is the expected return and risk. Since the new product can come in three differe
1. Suppose the annual return on XYZ stock follows a normal distribution with mean 0.12 and standard deviation 0.30. a. What is the probability that XYZ's value will decrease during a year? b. What is the probability that the return on XYZ during a year will be at least 20%? c. What is the probability that the return on
#25. Companies often make flextime scheduling available to help recruit and keep women employees who have children. Other workers sometimes view these flextime schedules as unfair. An article in USA Today indicates that 25% of male employees state they have to pick u the slack for moms working flextime schedules. Suppose you s
1. In 1972, Rodrigo Partida, a Mexican-American, was convicted of burglary with intent to commit rape. His conviction took place in Hidalgo County, which is in Texas on the border with Mexico. In Hidalgo County, 79.1% of the residents eligible for jury selection are Mexican-American. Partida's conviction was later overturned bec
The National Safety Council (NSC) estimates that off-the-job accidents cost U.S. businesses almost $200 billion annually in lost productivity (National Safety Council, March 2006). Based on NSC estimates, companies with 50 employees are expected to average three employee off-the-job accidents per year. Answer the following quest
Choose any medical scientific study who applied a Bayer Theorem and write down the article information (title, author, location, and date) of the article, write a paragraph about the summary or overview of the article (You can copy from the article), and write your opinion about the article.