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# Probability

### Probability

Suppose you are dealt a hand of 3 cards twice. What is the probability that you will receive exactly 2 kings in each of the two deals? How many different combinations can there be, such that, you will be dealt exactly two kings?

### Understanding probability distributions and their characteristics.

What shape curve do you get when your data set has the mean, median, and mode all with the same value? Could the value of the sample mean and the value of the population mean ever be the same?

### Calculating probabilities.

Approximately 14 percent of the population of Arizona is 65 years or older. A random sample of five persons from this population is taken. The probability that less than 2 of the 5 are 65 years or older is: A bank lobby has four video cameras positioned to view the entire lobby. Any one of the four is sufficient to monitor th

### Calculating probabilities: 3 questions.

1) The odds of the Dallas Cowboys winning this year's Super Bowl are 3 to 1. Compute the probability of the Cowboys winning a).33 b).25 c).75 d) none. 2) An appliance dealer calculated the proportion of new dishwashers sold that required various numbers of service calls to correct problems during the warranty period. The r

### Probabilities and conditional probabilities.

I have been struggling with theses two following problems: illustration: age a(0.00%) b(0.01-0.9%) c(>_0.10%) d 0-19 142 7 6 155 e 20-39 47 8 41 96 f 40-59 29 8 77

### Systems Engineering or Statics for MTBF and probability of failure

Please review these attached Systems Engineering problems and provide assistance. The problems are related to Mean Time Between Failure and failure rates for systems. --------------------------------------------------------------------- 10. The failure rate (&#955;) of a device is 22 failures per million hours. Two standby

### Probability

If A and B are independent events with P(A) = 0.25 and P(B) = 0.60, then P(A/B) is? 2. Intentions of customers regarding future automobile purchases and the financial capability of the consumers are given below: Plan to buy qualify for within 6 6 months or

### Probability ...

1. The salaries (in thousands of dollars) for a sample of 13 employees of a firm are: 26.5, 23.5, 29.7, 24.8, 21.1, 24.3, 20.4, 22.7, 27.2, 23.7, 24.1, 24.8 and 28.2. Compute the variances. 2. New York City is estimated to have 21 percent of the homes with TV sets served by cable TV. If a random sample of four is taken f

### Statistics - Probability..

In a bag there are 20 marbles. The colors of the marbles are as follows: red - 5; blue - 8; green - 3; yellow - 4. a. What is the probability of selecting a red marble? b. What is the probability of selecting a blue marble? c. What is the probability of selecting a pink marble? None d. What is the probability of selectin

### Probability...

New Orleans Punch was made by Frutayuda, Inc., and sold in 16-ounce cans to benefit victims of Hurricane Katrina. The mean number of ounces placed in a can by an automatic fill pump is 15.8 with a standard deviation of 0.12 ounce. Assuming a normal distribution, what is the probability that the filling pump will cause an overflo

### Probability - The length of time to complete a door assembly on ...

The length of time to complete a door assembly on an automobile factory assembly line is normally distributed with mean 6.7 minutes and a standard deviation 2.2 minutes. For a door selected at random, what is the probability the asembly line time will be between 5 and 10 minutes? Answer to 4 decimal places.

### Understanding and calculating probabilities.

1. A certain company reduced its management staff from 18 managers to 12. The company claimed that the 6 managers were randomly selected for job termination. However, the 6 managers chosen are the 6 oldest managers among the 18 that were employed. What is the probability that when 6 oldest managers are randomly selected from

### Linear Programming (LP) Problem. Assuming these numbers to be representative, and that transfers /re-enrollment occur twice yearly, what will be the market share distribution at the end of the next cycle? What will be the market distribution at the end of the next year? What will be the market distribution at the end of the 5-year planning period of interest to the Dean? If changes are not made that effect a change in the enrollment rate, the assumptions for a steady state population (exits=entrants) hold true, and there are no other significant schools entering the competition that changes the numbers for "other" category, what will be the distribution when the competition for students "steady out" (reaches steady state)?

E-1. The market for on-line degrees and courses is becoming crowded and quality and responsiveness seem to play a role in attracting students to continue in a program. The Academic Dean of Ed Marshal Automotive University (EMAU) is interested in how EMAU is doing in the on-line area. He commissioned a study by a faculty-staff

### Probability: Discrete and Continuous Probability Distributions

What is a probability distribution and its purpose? Distinguish between discrete and continuous probability distributions. Give an example of each. What is randomness? Assume you have an Excel worksheet of the dimension, A1:E101. The first row contains data labels. How would you randomize the data file and to select a

### How do you use a decision tree to decide whether to build a small or a large plant at a new location?

A manufacturer must decide whether to build a small or a large plant at a new location. Demand at the location can be either small or large, with probabilities estimated to be 0.4 and 0.6 respectively. If a small plant is built, and demand is large, the production manager may choose to maintain the current size or to expand. The

### Problems with probabilities

Please help with the following probability problem. A statistical experiment involves flipping a coin that is much thicker than a regular coin of the same diameter. When flipped, the probability for the thick coin to come to rest on its edge is 4 percent; otherwise it is a "fair coin" in the sense that we can get heads or ta

### Simulation of probability distributions

Every 5 minutes a satellite sends an almost instantaneous signal burst to a ground station to communicate that all systems are working properly. The satellite will not transmit the burst if there is an error somewhere. The transmitted signal strength is 4 units. The signal received at the ground station is a combination of the t

### Fault Tree Problem: Calculating probabilities.

Assume the probability of a tire blowout is 0.178% per 50,000 miles of use and that a person travels 15,000 miles per year in a car. Assume that the probability of loss of control is 60% if the blowout occurs on the front tires and 20% for the rear tires. If control is lost, the probability is 50% of veering to the right and 50%

### Conduct a simulation for 20 copier arrivals assuming that the system starts empty. Use the Excel random number function to determine the inspection times. Calculate the average time a copier spends in the system based on these 20 arrivals.

Ricon, Inc. uses an assembly line to produce its office copiers. The final step in the assembly process is quality control inspection. Copiers arrive at the quality inspection area exactly every 90 seconds. The time it takes to perform a quality control inspection follows an exponential distribution, with a mean of 72 seconds

### Understanding waiting line models

Please see attached for fully formatted questions. ---------------------------------------------------------- 1. a. The expected number of customer that will arrive in a five minutes period is b. The probability that exactly 0,1,2 and 3 customer will arrive during a five minutes period is c. The probability of delays will

### Probability ...

It has been reported that the average US office worker receives 14 fax messages per day. For purposes of this exercise, we will assume that the daily number of fax messages is normally distributed with a standard deviation of 5.0 messages. For an office in which 10 workers are employed and considering these person as a simple

### Probability

For a random variable that is normally distributed, with u = 200 and o = 20, determine the probability that a simple random sample of 4 items will have a mean that is: a. greater than 210 b. between 190 and 230 c. less than 225

### Normal distributions: Z scores and probabilities

A continuous random variable, x, is normally distributed with a mean of \$1000 and a standard deviation of \$100. Convert each of the following x values into its corresponding z-score. a. x = \$1000 b. x = \$750 c. x = \$1100 d. x = \$950 e. x = \$1225 2.Using the standard normal table, find the following probabilities

### Statistics - Probability of Business Failures

The following data represent x = the total number of business and y = the number of business failures in mountain states over a 1-year period. x = Number of y = Number of State businesses business failures Arizona 146.67

### Finding probabilities with the help of binomial distribution

A regional manager visits local fast-food franchises and evaluates the speed of the service. If the manager receives her meal within 45 seconds, the server is given a free movie-admission coupon. If it takes more than 45 seconds, the server receives nothing. Throughout the company's franchises, the probability is 0.60 that a

### Simulation Model

Problem #19 Customers arrive at the Blinkies Donut shop between 6:30am and 8:30am according to a Poisson process with a mean rate of one every minute. Seventy percent of the arriving customers purchase one or two donuts, while 30% purchase the Blinkies Dozen pack. For customers purchasing one or two donuts, the service time

### Utility Analysis

Need help with the attached excel spreadsheet. Sheet 1 is problem, Sheet 2 is template I need to use. Pharmgen Corporation has developed a new medication for the treatment of high blood pressure. Tests on laboratory animals have been promising, and the firm is ready to embark on human trials in order to gain approval from t

### Operation Management : Economic Order Quantity, Order Point and Safety Stock Level

Please see the attached file for the fully formatted problems. 1. A timber company in the southwest is evaluating its inventory policy regarding timber needed for its saw mill. Annual demand= 38,000, Carrying cost = \$6.10, ordering cost = \$25.00, supply rate = 200, usage rate = 75. a) What is EOQ b) What is total annual st

### Understanding statistics: probabilities of observing events.

1. Assume that company A makes 80% of all electrocardiograph machines, company B make 15% of them, and the company C makes the other 5%. The electrocardiographs machines made by company A have a 4% rate of defects, the company B machines have a 5% rate of defects, while the company C machines have a 8% rate of defects. a) If a

### Statistics: understanding z-scores and probabilities of observing events.

I would like some help with the following problems. Can I please get the actual manual work for the problems so I can follow the formula and follow the steps with other word problems. Thanks. 1. A normal population has a mean of 20.0 and a standard deviation of 4.0. a. compute the z value associated with 25.0. b. what prop