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# Probability

### 8.14 Sampling Distribution - z-score - Extra Fuel on Airplane

From past experience, an airline has found the luggage weight for individual air travelers on its trans-Atlantic route to have a mean of 80 pounds and a standard deviation of 20 pounds. The plane is consistently fully booked and holds 100 passengers. The pilot insists on loading an extra 500 pounds of fuel whenever the tota

### Binomial Probabilities

Binomial Probabilities These procedures show how to get binomial probabilities associated with n = 5 trials when the probability of a success on any given trial is &#960; = 0.20. Procedure I: Individual or cumulative probabilities for x = 2 successes. Procedure II: Complete set of individual

### Statistics: Replacement Times for Washing Machines

Suppose the replacement times for washing machines are normally distributed with a mean of 9.3 years and a standard deviation of 1.1 years. Find the probability that 70 randomly selected washing machines will have a mean replacement time less than 9.1 years. Show all work.

### Normal Probability of Household Spending

It has been reported that households in the West spend an annual average of \$6050 for groceries. Assume a normal distri- bution with a standard deviation of \$1500. a. What is the probability that a randomly selected Western household spends more than \$6350 for groceries? b. Ho

### Formulas for Discrete Probability Distributions

See attached file - Formulas for Discrete Probability Distributions A discrete random variable can have the values, x = 3, x = 8, or x = 10, and the respective probabilities are 0.2, 0.7, and 0.1. Determine the mean, variance, and standard deviation of x. (6.5)

### Statistics Case Study: WTVX

Case Study WTVX WTVX, Channel 6, is located in Eugene, Oregon, home of the University of Oregon's football team. The station was owned and operated by George Wilcox, a former Duck (University of Oregon football player). Although there were other television stations in Eugene, WTVX was the only station that had a weatherper

### Probability of people buying a particular model of car: estimate projects

Complete the practice question in an excel spreadsheet and display the profit for each model in a bar chart. After 12 months in business, you discover that only 10 percent of people who walk through your doors will be buyers. Of those who buy vehicles, the breakdown of vehicle purchases is as follows: VW Golf 15% Saab

### Concepts of Probability & Venn Diagram for employee travel distances to work

Survey of Employees A survey of employees at a large company found the following relative frequencies for the one-way distances they had to travel to arrive at work: Number of miles (one-way) A B C D E F < 5 6-10 11-15 16-20 21-30 > 31 Relative Frequency 0.38 0.25 0.16 0.09 0.07 0.

### Probablity: Computer Specialty Manufacturer Support Department

A computer specialty manufacturer has a two-person technical support staff who work independently of each other. In the past, Tom has been able to solve 75% of the problems he has handled, and Adam has been able to solve 95% of the problems he has handled. Incoming problemsm are randomly assigned to either Tom or Adam. If a

### Probability: Investment Counselor's time schedule

An investment counselor would like to meet with 12 of his clients on Monday, but he has time for only 8 appointments. How many different combinations of the clients could be considered for inclusion into his limited schedule for that day? NOTE: When using calculations, please use an Excel spreadsheet or submit the response so

### Probability that Graduating student will be a member of a sports team

There are 100 males and 120 females in the graduating class of a local high school. Thirty-five percent of the graduating males are on school sports teams, as are 30% of the graduating females. A local businessperson is going to donate \$1,000 to the favorite charity of a randomly selected graduate. What is the probability th

### Concepts of Probability: Trophy Awards for 'Citizen of the Year'

Ten prominent citizens have been nominated for a community's "Citizen of the Year" award. First- and second-place trophies are awarded to the two persons receiving the highest and second-highest number of votes. In how many different ways can the trophies be awarded? (5.52) Note: Please use an Excel spreadsheet to s

### Concepts of Probability

Fire Fatalities If computations are used, please use an Excel worksheet to show them or state response in a form that can be transferred to a spreadsheet. Using the table below, how many victims were in the category described by: a. (A and A&#8242;)? b. (C or F)? c. (A&#8242

### Odds that a US adult attended a sports event

It has been reported that about 35% of U.S. adults attended a sports event during the previous year. What are the odds that a randomly selected U.S. adult attended a sports event during the year? (5.8)

### Statistics for Managers: Normal distribution, random sample, standard deviation

Given a normal distribution with a population mean of 100, a standard deviation of 10 and a sample size of n = 25, what is the probability that X is a. less than 95? b. between 95 and 97.5? c. above 102.2? d. There is a 65% chance that X is above what value? Time spent using e-mail per session is normally distributed,

### Probability: Which Portfolio Would You Recommend?

You are trying to develop a strategy for investing in two different stocks. The anticipated annual return for a \$1000 investment in each stock has, in your opinion, the following probability distribution: Returns: Probability Stock A Stock B 0.1 -\$100

### Email to American Intellectual Union: Probability of Gender, Age, Department, Position, and Job Satisfaction

See the attached for data file. Compose an e-mail to the head of the American Intellectual Union, which includes the following: 1. Begin your e-mail to AIU by first providing an overview of the database, that is, a story about the characteristics that may include types of variables, etc. 2. Be sure to include informati

### Binomial Distribution: Infectious and Pulmonary Disease

1. Infectious disease question: Evaluate the probabilities of obtaining k neutrophils out of 5 cells for k=0,1,2,3,4,5 where the probability that any one cell is a neutrophil is 0.6. Find the expected number and standard deviation of neutrophils of the 5 cells. 2. Pulmonary disease question: Compute the probability of obta

### Normal Probability: Average cost of renting a compact car

The average cost of a renting a compact size car in a major metropolitan area is R51.74 with a standard deviation of 7.48. Assume a normal distribution. If a sample of 20 cities is taken, what is the probability that the sample mean will fall between 47.74 and 55.74

### Statistics for Managers: S&P 500's Performance; got news from newspapers

See attached file for problem 2. 1. Can the problem title "basic probability" be solved using excel? If yes, please explain step-by-step on excel. Please also include any formulas and how you reach the conclusion. For this question, disregard part d. In 37 of the 59 years from 1950 through 2008, the S&P 500 finished highe

### Is the Poisson distribution a good estimation of arrival rates in queuing systems?

Do you think the Poisson distribution, which assumes independent arrivals, is a good estimation of arrival rates in the following queuing systems? Defend your position in each case. -cafeteria in your school -barbershop -hardware store -dentists office -college class -movie theater

### Overall Probability Ratings for Decision variables

I have the following: Decision Variable A: rating =80% weighting = 5% Decision Variable B: rating = 30% weighting =10% Decision Variable C: rating = 53% Weighting = 50% Decision Variable D: rating = 10% weighting = 15% Decision Variable E: rating = 57% weighting = 20% Determine the overa

### 4 Problems Statistics: random selection, die or coin roll, safety or seat belt use

1) A container contains 3 slips of paper numbered 1, 2, and 3 respectively. A slip is randomly selected and replaced and then another slip is randomly selected. If A is the event that the same number is drawn each time, how many outcomes are in the event not A? 2) If you rolled a die. What would be the probability

### Exponential distribution for electrical component; average credit card debt

1. The useful life of an electrical component is exponentially distrbuted with a mean of 2500 hours. (a) what is the probability the circuit will last more than 3000 hrs. (b) what is the probability the circuit will last between 2500 and 2750 hours (c ) what is the probability the circuit will fail within the first 2000 hr

### Statistics: Continuous probability; randomly selected value, normal distribution

1. For a standardized normal distribution calculate the following probabilities a. P(0.00 < z < or equal to 2.33) b. P( -1.00 < z < or equal to 1.00) c. P( 1.78 < z < 2.34). 2. A random variable is normally distributed with mean of 25 and standard deviation of 5. If an observation is randomly selected a. what val

### Probability of annual rainfall

Annual rainfall in Boquete, Panama is normally distributed with a mean of 43 inches, and a standard deviation of 3.8 inches. What is the probability that this year's rainfall exceeds 35 inches? A. 0.9824 B. 0.3285 C. 0.7692 D. 0.5

### Statsistics for Alberta insurance company policyholder claims

Note that answers are given. Please show the workings to arrive at the answers. An auditor for an insurance company in Alberta reports 40 percent of the policyholders 55 years or older submit a claim during the year. 15 policyholders are randomly selected for company records a) how many of the policyholders would you expe

### Finding the nominal coverage rate for CI

Students in the industrial statistics lab at ASU calculate a lot of confidence intervals on mu. Suppose all these CIs are independent of each other. Consider the next one thousand 95% CIs that will be calculated. How many of these CIs do you expect to capture the true value of mu? What is the probability that between 930 and

### Statistics - Text Message and Winter Olympics

Please see attachment and explain all work. #1 Suppose that 40% of all cell phone owners have sent or received text messages. A sample survey interviews an SRS of 2000 cell phone owners. a) What is the actual distribution of the number X in the sample who have sent or received text messages? b) What is the probability

### Standard Deviation

Jim's systolic blood pressure is a random variable with a mean of 145 mmHg and a standard deviation of 20 mmHg. For Jim's age group, 140 is the cutoff for high blood pressure. If Jim's systolic blood pressure is taken at a randomly chosen moment, what is the probability that it will be, (a) 135 or less? (b) 175 o