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
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)
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 consu
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
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...
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
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
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.
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
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
Please provide explanation and answers to these questions. 1. The Speed master IV automobile gets an average 22.0 miles per gallon in the city. The standard deviation is 3 miles per gallon. Assume the variable is normally distributed. Find the probability that on any given day, the car will get more than 26 miles per gallon
Please refer to the attachment for the problem.
See attached file. 1. At a swimming pool there are 2 managers, 8 lifeguards, 3 concession stand clerks, and 2 maintenance people. If a person is selected at random, find the probability that the person is either a lifeguard or a manager. 2. An automobile dealer has 10 Fords, 7 Buicks, and 5 Plymouths on his used-car lot. I
Please see the PDF attached for proper format. I need the full detailed solution of the following 6 probability questions. 1) Given S = {a, b, c, d, e, f, g, h, i, j, k, l}, A = {a, b, c, d, e, f, g, h}, and B = {g, h, k, l}, list the elements of [(A C ∪ B ) C ∪ B C] C. 2) For S = {1, 2, 3, 4}, A = {2, 3, 4} ∈A, a
One-fourth of the residents of the Burning Ridge Estates leave their garage doors open when they are away from home. The chief of Police estimates that 5 percent of the garages with open doors will have something stolen, but only 1 percent of those closed will have something stolen. If a garage is robbed, what is the probability
A Tamiami shearing machine is producing 10 percent defective pieces, which is abnormally high. The quality control engineer has been checking the output by almost continuous sampling since the abnormal condition began. What is the probability that in a sample of 10 pieces: a. Exactly 5 will be defective? b. 5 or more will be
Suppose 1.5 percent of the antennas on new Nokia cell phones are defective. For a random sample of 200 antennas, find the probability that: a. None of the antennas is defective. b. Three or more of the antennas are defective.
According to the College Board's report, the average tuition and fees at four year private colleges and universities in the United States was $20,273 for the academic year 2002-2003 and the standard deviation was $4100. For a random sample of 100 four year private US Colleges A. What is the mean of the sampling distribution?
Data from a National Health Survey show that men's average weight is normally distributed with a mean of 170 pounds and a standard deviation of 30 pounds. A. If A man is chosen at random, what is the probability that his weight is greater than 180 pounds? B. If 100 men are randomly selected, what is the probability that TH
Revised the R = $1000 to R=$1,000,000. ______________ The management of Orange Computers was considering launching a new product called the whopper101. The problem was that if a certain competitor had developed a new technology as had been rumored, they would quickly blow the whopper101 out of the water resulting in a loss of
A medical laboratory receives 40 blood specimens to check for HIV. Eight actually contain HIV. A worker is accidentally exposed to five specimens. (a) What is the probability that none contained HIV? (b) That exactly two contained HIV? (c) Fewer than three? (d) At least two? Make an Excel graph of the PDF of this d
Please choose the correct answer and write briefly why. A property of continuous distributions is that: a. As with discrete random variables, the probability distribution can be approximated by a smooth curve b. Probabilities for continuous variables can be approximated using discrete random variables c. Unlike discret
Please state which of the below statements are true or false, and explain briefly why 10. For a continuous distribution, the exact probability of a particular value is always zero. ( 11. You cannot make a Type I error when the null hypothesis is true. (Ch9) 12. In a regression model, a value of the error term d
A study of bottled water found that 25% of the brands of bottled water just put tap water into the bottles. In a sample of 8 different brands of bottled water what is the probability that fewer than 3 are just tap water?
Engineers must consider the breadths of male heads when designing motorcycle helmets. Men have had breadths that are normally distributed with the mean of 6.0 inches and a standard deviation of 1.0 inches (based on anthropometric survey data from Gordon, Churchill, et al.). A. If one male is randomly selected, find the probab
Information from the American Institute of Insurance indicates the mean amount of life insurance per household in the United States is $110,000. This distribution follows the normal distribution with a standard deviation of $40,000. a. If we select a random sample of 50 households, what is the standard error of the mean? b.
4. Tom Smith's Jiffy Lube is able to serve customers in an average time of 12 minutes (negative exponential distribution). Customers arrive at the shop at an average of 3 per hour (Poisson distribution). The queue discipline is first-in, first-out and the calling population can be considered infinite. a. What is the average n
See attached graph for problem 3. 1.The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is mound shaped and symmetric with a mean of 25.9 mpg and a standard deviation of 9.5 mpg. If 30 such cars are tested, what is the probability the average mpg achieved by these 30 cars will
Problem Set 2 Acme Tires manufactures two types of tires: high performance tires and all weather tires. 33% of the tires they produce are high performance tires. They offer a 40,000 mile warrantee on each of the tires they sell, and 89% of all tires exceed 40,000 miles of tread life. Furthermore, 30% of all the t