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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


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


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

Probability: The Population and the Sample

Question: There are 40 English students enrolled. The teacher questioned 5 students who always sit in the back of the classroom. Three of the 5 said "yes" when asked if they would like "A Tale of Two Cities" as the next class reading assignment. a. Identify the population and the sample in this situation. b. Is this likely

Probability Distributions

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

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

A probability problem: computing expected values and decision making ...

There is a probability that the river will flood next year. Riverside's profits for the coming year depend on whether Laura buys the flood insurance and whether the river floods. The profits (which take into consideration the $10,000 premium for the flood insurance) for the four possible combinations of Laura's choice and river

Probability ... (Please see the attached file)

1. The number of homicides in Vermont from 1992 through 2001 is given in the following table. Find the mean, median, and mode of the data. 2. Find the standard deviation for the data shown in the table of problem #6.3. Use your answer from problems #6 and #7 to answer the following questions: a. What percent of the data i

Probability problem

If a die rolled one time, classical probability would indicate that the probability of a "two" should be 1/6. If the die is rolled 60 times and comes up "two" only 9 times, does this suggest that the die is "loaded"? Why or why not? It is reported that about 35% of adults attend sports event during the previous year. W


60 million households with personal computers were distributed as shown here with regard to geographic location and access to the internet. What is the probability that a randomly selected computer household would be in the category described by (South or Midwest or Yes)? In the category (West and No)? Access Northea

Discrete random variables and their probablility distributions

1.Thirty per cent of all patients undergoing a particular diagnostic procedure require a sedative. In a random sample of 10 patients undergoing the procedure, what is the probability that least half will require a sedative? b.fewer then 3 will require a sedative? least 9 will not require a sedative? 2.The durati

Random Variables Classification and Market Age

1.) Random Variables: Classification- Which of the following are continuous variables and which are discrete? a.) Speed of an airplane b.) Age of college professor chosen at random c.) Number of books in the college bookstore d.) Weight of a football player chosen at random e.) Number of lightning strikes in Rock Mountain

Application of Normal distribution

Problem 1) The weigh of a sophisticated running shoe is normally distributed with a mean of 12 ounces and a standard deviation of 0.5 ounces. a) What is the probability that a shoe weighs more than 13 ounces? b) What must the standard deviation of weght be in order for the company to state that 99.9% of its shoes are lea

Normal distribtuion

The life of a semiconductor is normally distributed with a mean of 7000 hours..... The average height of a women 24 - 70 is 64 inches.... The reaction time of a driver to visual stimulus ...

Calculate each probability for smoking by race for males

Refer to the contingency table shown below. (a) Calculate each probability (i-vi) and explain in words what it means. (b) Do you see evidence that smoking and race are not independent? Explain. (c) Do the smoking rates shown here correspond to your experience? (d) Why might public health officials be interested in this type o

Probability and Binomial Distribution

6. The industry standards suggest that 10% of new vehicles require warranty service within the first year. A dealer sold 15 Nissans yesterday. Use equation (page 209) for part a) and Table II in back of book for part b) & c). Explain how you got values from table. a) What is the probability that none of these vehicles requi

Excel to Solve Probabilities - Distributions - Degrees of Freedom

I'm having a problem Using Excel to Solve Probabilities - Distributions - Degrees of Freedom. The question is listed below and the question with any relevant data is attached as an excel spread sheet. PROBLEM: Determine the following quantities using Excel: (a) Find the value of x such that P (t10x ? X) = 0.75, whe

Using Excel Functions to solve probability problems

Please help with the following problems. Provide the solution in an Excel spreadsheet. FACTS: The amount of time spent by North American adults watching television per day is normally distributed with a mean of 6 hours and a standard deviation of 1.5 hours. PROBLEM: (a) What is the probability that a randomly selec

Find the largest number of room reservations that this hotel can book and still be at least 95% sure that everyone who shows up at the hotel will have a room on a given night. Using 322 reservations, find the probability that at least 90% of the available rooms will be occupied on a given night. Using 322 reservations, find the probability that at least 85% of the available rooms will be occupied on a given night.

Suppose that a popular hotel for vacationers in Orlando, Florida, has a total of 300 identical rooms. Like many major airline companies, this hotel has adopted an overbooking policy in an effort to maximize the usage of its available lodging capacity. Assume that each potential hotel customer holding a room reservation, indepe