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# Probability

### Solution to a Statistics Word Problem

Your company ships a lot of packages needing quick delivery and short notice. In the past, you have used Speedy Air Delivery Service, but you are beginning to receive complaints from customers who say they are not receiving their packages on time. Speedy advertises that it delivers packages anywhere in the U.S. in an average of

### Probability of a Fatal Auto Accident Over a Lifetime in the U.S.

The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) what is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint assume independent events. Why might the assumption of indep

### American Intellectual Union - Probability Distribution

Using our data set from Unit 1, compose a 3-page 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 inform

### Wait Line Analysis for truck loads of wheat at central storage bin

The wheat harvesting season is short. Farmers deliver their truck loads 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 known to back up for a block at the receiving bin. The central bin is owned cooperatively and it is to

### Probability of Outcomes of Different Situations

Five percent of patients suffering from a certain disease are selected to undergo a new treatment that is believed to increase the recovery rate from 30% to 50%. A person is randomly selected from these patients after the completion of the treatment and is found to have recovered. What is the probability that the patient receive

### AIU Memo: Statistics for distribution by gender, tenure, age, satisfaction

Using our data provided below in this post, compose an e-mail to the head of the American Intellectual Union, which includes the following: 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. Be sure to include i

### Statistics

******Please help me with this and show me how to do it. Using our data set which is attached, Use the attached templete: 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 information about

### Find the probability, P(Z < 0.17), using the standard normal distribution.

11. Find the probability, P(Z < 0.17), using the standard normal distribution. A. .8300 B. .4325 C. .5675 D. .0675

### Statistics Practice questions: Confidence interval, hypotheses, probability, distribution

See attached file for graphs and tables. 1. A study of 45 bolts of carpet showed that their average length was 78.2 yards. The standard deviation of the population is 1.6 yard.Which of the following is the 95% confidence interval for the mean length per bolt of carpet? A 77.8 < µ< 78.6 B 77.3 < µ< 79.1 C 78.0 < µ

### Confidence Interval Application: Mean time to download from IRS and H&R Block sites

An article reported that the mean time to download the home page for the Internal Revenue Service, www.irs.gov, is 0.8 seconds. Suppose that the download time is normal distributed, with a standard deviation of 0.2 seconds. The same artile mentioned above also reported that the mean time to download the home page for H & R

### Statistics: Probability that the Student is an Engineering Major

At a certain college, there were 600 science majors, 200 engineering majors, and 500 business majors. If a student is selected at random, what is the probability that the student is an engineering major? Calculate your answer rounded to four decimal places. Simply provide the numerical value. For example, 0.1234 would be a le

### Statistics: Probability that average lobster catch is less than 31.5 pounds per day

In a particular region of Cape Cod, it is known that lobstermen trap on average of 32 pounds of lobster per day with a standard deviation of four pounds. If a random sample of 30 lobster fishermen is selected, what is the probability that their average catch is less than 31.5 pounds? Calculate your answer rounded to four deci

### Probability

James Choi, David Laibson, and Brigitte Madrian conducted an experiment to study the choices made in fund selection. Suppose 100 undergraduate students and 100 MBA students were selected. When presented with four S&P 500 index funds that were identical except for their fees, undergraduate and MBA students chose the funds as fo

### Probability Based on the Binomial Distribution

Half (0.5) of the homes built in the new upper-bracket Houston subdivision included a room designed specifically to be a home theater.  Four Houston homes are selected at random: 1. What is the chance that all four homes will have the home theater room? 2. What is the chance that none of the homes in the sample of four wil

### Probability

The Oil Price Information Center reports the mean price per gallon of regular gasoline is 3.26 with a population standard deviation of 0.18. Assume a random sample of 40 gasoline stations is selected and their mean cost for regular gasoline is computed. a.) What is the standard error of the mean in this experiment? b.) What

### Problems with standard normal distribution

A project is being analyzed using PERT. The expected completion time of the project is 70 weeks with a standard deviation of 5 weeks. Assume the project completion time is normally distributed. What is the probability that the project will be finished in 74 weeks or less? a. 0.8000 b. 0.7881 c. 0.2119 d.

### Binomial Probability

Answer the following: (A) Find the binomial probability P(x = 6), where n = 15 and p = 0.60. (B) Set up, without solving, the binomial probability P(x is at most 6) using probability notation.

### Normal approximation to binomial distribution

Answer the following: (A) Find the binomial probability P(x = 6), where n = 15 and p = 0.60. (B) Set up, without solving, the binomial probability P(x is at most 6) using probability notation. (C) How would you find the normal approximation to the binomial probability P(x = 6) in part A? Please show how you would calculate

### Statistics: Analyze AIU data for gender, tenure, age, job satisfaction

See attached files. Compose an e-mail to the head of the American Intellectual Union, which includes the following: 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. Be sure to include information about where stat

### Probability of sample gas prices in Illinois vs the population mean

The average price of a gallon of unleaded regular gasoline was reported to be \$3.13 in Illinois (http://www.cincygasprices.com). Use this price as the population mean, and assume the population standard deviation is \$.20. A) What is the probability that the mean price for a sample of 30 service stations is within \$.03 of

### Poisson Probability of Car Security Alarms

Could you please help me figure out Poisson Probability. Car security alarms go off at a mean rate of 3.8 per hour in a large parking lot. Find the probability that in an hour there will be (a) no alarms (b) fewer than four alarms (c) more than five alarms (rounded to 4 decimals)

### Exponential distribution for American Time Use Survey for leisure use of computers

The Bureau of Labor Statistics' American Time Use Survey showed that the amount of time spent using a computer for leisure varied greatly by age. Individuals age 75 and over averaged .15 hour (9 minutes) per day using a computer for leisure. Individuals ages 15 to 19 spend 1.0 hour per day using a computer for leisure. If these

### Americans ate an average of 25.7 pounds of confectionary products each last year and spent an average of \$61.50 per person doing so. If the standard deviation for consumption is 3.75 pounds and the standard deviation for the amount spent is \$5.89, find the following: a. The probability that the sample mean confectionary consumption for a random sample of 40 American consumers was greater than 27 pounds. b. The probability that for a random sample of 50, the sample mean for confectionary spending exceeded \$60.00.

Americans ate an average of 25.7 pounds of confectionary products each last year and spent an average of \$61.50 per person doing so. If the standard deviation for consumption is 3.75 pounds and the standard deviation for the amount spent is \$5.89, find the following: a. The probability that the sample mean confectionary consu

### Analyze Average Precipitation for Toledo, Ohio

Average Precipitation For the first 7 months of the year, the average precipitation in Toledo, Ohio, is 19.32 inches. If the average precipitation is normally distributed with a standard deviation of 2.44 inches find these probabilities. a. A randomly selected year will have precipitation greater than 18 inches for t

### Random Sample for Binomial Probability Distribution

I have 90 black balls and 10 red balls in an urn. Using the binominial probablity distribution, calculate the probability of having 3 or fewer red balls in a sample of 20 balls removed randomly from the urn...

### Open Queuing System - Poisson

The sketch below shows an open queuing system with three stations. External arrivals to stations one to three occur at the Poisson rates of 5/hr, 7/hr and 10/hr respectively. 70% of the arrivals to workstation 1 leave the system while 30% proceed to work station 2. 10% of the workstation 2 arrivals are recycled back to workstati

### Lahey Electronics: Test probabilities of number of emails received. Poisson distribution

An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an average of two emails per hour. Assume the arrival of these emails is approximated by the Poisson distribution. a. What is the probability Linda Lahey, company president, received exactly 1 email between 4 P.M. a

### Probability vs. Statistics; Variable vs. Parameter

1. Determine if this is an example of probability or statistics: The average home price in one particular U.S. city is \$214,000. 2. Determine if this is an example of a variable or a parameter: 79.6% of Americans own at least one vehicle.

### Probability distributions for Math Exam scores

Please explain solutions for #21, 22. A final Math exam has a normal distribution with mean 73 and standard deviation 3.5. 21- If one student is randomly selected, find the probability that his score be less than 71: A) 0.7158 B) 0.2843 C) 0.4934 D) 0.6432 22- If 25 students are

### Binomial Distribution and Probability Problems

Please explain the steps to solve the problems. The number of correct answers on a 10 questions test has Binomial Distribution with parameters n= 10 p= 0.40: 16- Find P( X > 7): A) 0.43 B) 0.013 C) 0.23 D) 0.68 17- Find the expected number (mean) of correc