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# Probability

### Probability and Expected Value

Questions - u12 The questions are to be answered with full solutions. Be sure to focus on proper mathematical form, including: 1. One equal sign per line, 2. Equal signs in each question lined up vertically with each other, 3. No self-developed short form notations, 4. One step or idea per line, 5. Show complete solut

### Probability calculation based on frequency approach

The questions are to be answered with full solutions. Be sure to focus on proper mathematical form, including: 1. One equal sign per line, 2. Equal signs in each question lined up vertically with each other, 3. No self-developed short form notations, 4. One step or idea per line, 5. Show complete solution to the given p

### Conditional Probability

A lotttery game has balls number 1 - 21. What is the probability of selecting an even numbered ball or a 10? Is the answer 10/21? If not what is it? Also - Find the conditional probability - If two fair dice are rolled find the probability that the sum is 6 given that the roll is a double.

### Probability and Mutually Exclusive Events

A fair dice is rolled. What is the probability of rolling an odd number OR a number less than 3? Also would being able to speak Chinese and being able to speak Spanish be mutually exclusive events?

### Mean, Median, Mode, Standard Deviation and Probability

Res 341 - Quiz for Week 4 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place than that used for the observations. 1) 13, 20, 16, 13, 14 1) A) 13 B) 15.2 C) 19

### Probability and Data Collection

1. Suppose you have 4 nickels, 6 dimes, and 4 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that a. You will draw a dime? b. You will draw a nickel? c. You will draw a quarter? 2. You are rolling a pair of dice, one red and one green. What is the probability of the follow

### Airplane queue problem

DFL airport has a single runway which is used exclusively to land airplanes. Airplanes that wish to land form a queue (a moving queue) in which airplanes join the end of a straight line stretching in the back of the runway. The airplane in front of the line is the next airplane scheduled to land. Such a line can stretch to a len

### Probabilities

Please show all steps for clarification. Find the probability that the 2-card hand described above contains the following: 1. Two aces 2. At least one ace 3. All spades

### Basic Probability Questions

I need some step-by-step help for the following three basic problems. 1. A group of 8 professors and 5 administrators must select a team of 6 people from the group. They decide to select the team members randomly by drawing names from a hat. What is the probability that the selected team will consist of equal numbers of profe

### Probability of Same Color: Sock Example Problem

Using probabilities, please help determine when to add and multiply probabilities: 7 white socks and 4 black socks are in a bag. 2 are drawn random without replacement. What is the probability they are the same color? Please explain process.

### Waiting Lines and Queueing Theory Models

Please answer questions 14-15 & 14-22 in the attached file (14-15) The wheat harvesting season in the American Midwest is short, and most farmers deliver their truckloads of wheat to a giant central storage bin within a two-week span. Because of this, wheat-filled trucks waiting to unload and return to the fields have been know

### Modeling and Simulation

Anwer the following questions in the attached file: Problem 15-14 Problem 15-16 Problem 15-17 - See the separate attachment for Solve Problem 15-1 (15-14) Clark Property Management is responsible for the 4 maintenance, rental, and day-to-day operation of a large apartment complex on the east side of New Orleans. George C

### Probabilities

[1] On a recent English test, students were given the names of four authors and four novels (one author one title), and asked to match each novel, with the correct author. If a student just guesses randomly, what is the probability of getting zero, one, two, three or four correct? [2] You are to select two cards one at a ti

### Probability (Expected Value - Mouse in the Maze Problem)

Find problem is attached. Please explain each step Assume a mouse in the maze has three routes to choose from. The probability of taking the routes #1, 2, and 3 are 0.35, 0.4, and 0.25 respectively. The route #1 gets the mouse out in three hours; route #2 brings it back to the center after 2 hours, and route #3 brings the

### Poisson distribution for patients at Costa Valley Hospital

Patients arrive at the emergency room of Costa Valley Hospital at an average of 5 per day. The demand for emergency room treatment at Costa Valley follows a Poisson distribution. a. Using appendix C, compute the probability of exactly 0,1,2,3,4 and 5 arrivals per day. b. What is the sum of these probabilities and why is th

### Probability of a Student Receiving a Particular Grade

A student taking Management Science 301 at East Haven University will receive one of the five possible grades for the course: A,B,C,D, or F. The distribution of grades over the past two years is as follows: A = 80 students B = 75 students C = 90 students D = 30 students F = 25 students Total = 300 students If this pa

### Probability

The Springfield Kings (a professional basketball team), has won 12 of its last 20 games and is expected to continue winning at the same percentage rate. The team's ticket manager is anxious to attract a large crowd to tomorrow's game but believes that depends on how well the Kings perform tonight against the Galveston Comets. He

### Probability problems

1. The telephone extensions at a company use 4 digits. a. How many extensions are possible if there are no restrictions? b. How many extensions are possible if the first digit cannot be 0 or 9? c. How many extensions are possible if the first digit can only be 1? 2. You are choosing a computer password. The password ha

### Probability problems

See attached A flu vaccine has a probability of 80% of preventing a person who is inoculated from getting the flu....

### Probability and Poisson Distributions

A total of M cells are exposed to X-ray radiation. X-rays produce chromosome breakages in cells. For each individual cell i &#1028; {1, .. . , M}, the number N2 of breakages has a Poisson distribution with parameter A (the random variables N are independent). Each breakage has a probability q of healing perfectly, a probability

### Probability : Insurance Policy

Someone purchases a liability insurance policy, and the probability that they will make a claim on that policy is equal to 0.1. The insurance payout is the amount of money the insurance company must pay if the holder of the policy files a claim. So, if no claim is made, then the insurance payout is just \$0; however, whenever a c

### Shortage probability

Hello, I need a detailed solution of problem 13.6 in the attached file A replenishment order is placed to raise the stock level of a given product....What is the probability of a shortage occurring during the replenishment lead time and what is the expected value of the total shortage.

### Probability and Decision Trees

1. A mail order company tracks the number of returns it receives each day. Information for the last 50 days shows Number of returns Number of days 0 - 99 6 100 - 199 20 200 - 299 15 300 or more 9 a. How many sample points are there? b. List and

### Queueing Problem

Service station cars arive randomly at a rate of 1 car every 30 min. the average time to change oil on a car is 20 min. both the time between arrivals and service time can be modeled using the negative exponential Poisson distribution. This shop only has one garage and one oil change person on duty at any given time. a) On

### Binomial Distribution, Decision Trees, Error Analysis, Forecasting and Random Number Generation

1. Binomial Distribution A fair die is rolled nine times. What is the probability that an odd number (1,3 or 5) will occur less than 3 times? a) .0899 b) .2544 c) .7456 d) .9101 4. Binomial Distribution This problem is a modified version of problem 8 in chapter 11. An automaker has issued a recall for truck transmiss

### Probability Evidence of a Serious Illness

A doctor finds evidence of a serious illness in a particular patient and must make a determination about whether or not to advise the patient to undergo a dangerous operation. If the patient does suffer from the illness in question, there is a 95% probability that he will die if he does not undergo the operation. If he does unde

### Probability

50. U.S. Population The population of the United States by race in 2000 and the projected population by race for the year 2025 are given below (in thousands).* Race 2000 2025 White 196,700 209,900 Hispanic 32,500 56,900 Afr

### Independent identically distributed continuous random variables

Suppose sunshine figures are independent identically distributed continuous random variables Y_k: k>= 1 (>=) denotes greater than or equal to. Find the probability that (a) Y_1 < Y_2 < Y_3 < Y_4 (b) Y_1 > Y_2 < Y_3 < Y_4

### Mean, Median, Mode, Probability, Parallelograms

1. The weights in pounds of six elementary students are: 80,92,71,63,76, and 83. Find the following: (a) mean ____________ (b) median ____________ (c) mode __________ (d) range ___________ (e) standard deviation (to the nearest tenth of a pound) _______________ 2. A bag contains fiv

### Probability Distribution, Mean, Variance and Weekly Profit

Natway, a national distribution company of home vacuum cleaners, recommends that its salespersons make only two calls per day, one in the morning and one in the afternoon. Twenty percent of the time a sales call will result in a sale. Write out the probability distribution for # of sales during a five-day week. What is the mean