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Statistical Analysis on Weight of Filled Packages

A pet food manufacturer uses an automatic process to fill packages, which have a nominal weight of 40 pounds. Supposed that the actual weight is a normally distributed variable, with a mean of 40.9 pounds, and a standard deviation of 0.5 pounds. a. What proportion of the individual bags contains less than 40 pounds? b. If a

Statistics and probabilities

Workers are subject to work-related injuries. One disorder, caused by strains to the hands and wrists, is called carpal tunnel syndrome. It strikes as many as 23,000 workers per year. The U.S. Labor Department estimates that the average cost of this disorder to employers and insurers is approximately $30,000 per injured worker.

Parallel Reliability

A product is made up of two subsystems in parallel. Subsystem one consists of ten elements in series each with a failure rate of 1/100. The second subsystem consists of 5 elements in series each with a failure rate of 1/200. What is the overall reliability of the system?


The funds dispensed at the atm machine located near the checkout line at the krogers in union, kentucky, follow a normal probability distribution with a mean of $4,200 a day and a standard deviation of $720 a day. The machine is programmed to notify the local bank if the amount dispensed is very low ( less an $2,500) or very hig


According to accountemps inc. 48% of all executives believe that employees are most productive on Tuesdays. a random sample of 200 executives is taken for a study. a. what is the shape, mean, and standard deviation of the sampling distribution of the sample proportion for samples of 200? b. what is the probability that the

Normal approximation for binomial distribution

h-p is said to be the leading seller of pc's in the U.S WITH 27% share of the pc market. if a researcher selects 130 recent pc purchases, use the normal approximation to the binomial to find the probability that more than 39 bought a h-p computer

Quantitative Analysis - Decision Theory Question

Problem 10-14 BMW is planning to launch a new sport utility vehicle (SUV), Initially it will have limited production for this model, with a total of only 20,000 units being produced for the year. King's BMW has been offered up to four of the SUV's for sale. King's estimates that the profit it earns from purchasing these SUV's

Statistics Probability Problem

I am not sure how to compile the contingency table from probabilities given. Each yr ratings are compiled concerning the performance of new cars during the first 90 days of use. Suppose that the other cars have been categorized according to whether the car needs warranty - related repair (yes or no) and the country in which t

3 Probability Homework Problems

I need assistance with problems: 6.51, 6.52 and 6.53 in the attached document. Please use excel. 6.51 All the major stock market indexes posted heavy losses in 2008. The mean one year return for stocks in the S&P 500, a group of 500 very large companies, was -38.5%. The mean one-year return for the NASDAQ, a group of 3200

probability of 11/11/11

This is not an academic problem per say, but your website was recommended to me for figuring out the statistical significance of my niece turning 11 y/o on 11/11/11 (November 11, 2011) at 11:11 am. I presume that such a birthday can only occur once a century for November 11th to fall on the 11th year of a century ... but how

Binomial random variable for large department chain

1.Suppose that 10 percent of all the new steel-belted radial tires shipped to a large department chain store are defective. Find the probability that in a shipment of 30 such tires: a. At most two are defective. b. At least two are defective. 2.Surveys show that 40% of all convenience

Statistics: Mean, the Variance, and the Standard Deviation

Determine the mean, the variance, and the standard deviation of the following discrete distribution. x P(x) 0 .103 1 .118 2 .246 3 .229 4 .138 5 .094 6 .071 7 .001 According to a recent survey, the probability that a passenger files a complaint with the Depar

Probability distribution and intervals

2. A system uses one of two networks to send binary information, where only one of those networks is used to send all bits of a single block of 5 bits. When network 1 is used the probability of an error in one bit is 0.1 and when network 2 is used the probability of error in one bit is 0.3. The probability of an error in using

Poisson Probability Distribution

Phone calls arrive at the rate of 48 per hour at the reservation desk for Regional Airways. Assume that the distributions of arrivals can be approximated by the Poisson probability distribution. (hint: make sure you know Ã?µ for each question). Determine the probability of receiving at most three calls in a five-minute inte

Statistics - General Questions

General Questions on Probability and Analysis of Variance. STATISTICS QUESTIONS: 1. Which of the following is a correct statement about a probability? a. Probability values range from 0 to 1, inclusive. b. Probabilities may assume negative values. c. Probabilities may be greater than 1. d. Probabilities are limited to

Sample Question: Probability

The following table gives the number of Property Crimes by category of crime and geographical region. East South Midwest West Totals Burglary 75 128 29 52 284 Motor Vehicle Theft 233 514 104 251 1102 Larceny

Probability Distribution of Total Losses

(Please help me solve this problem and show all work and steps in completing it. Thank you.) Ranger Inc. makes two shipments of products each month (shipment A and shipment B). The two shipments are made using the same mode of transportation and they are sent independantly of one other. (i.e., they are not shipped at the sa

Probability: XYZ Company Sample Question

*PLEASE SHOW ALL WORK FOR COMPLETING THIS PROBLEM SO THAT I KNOW HOW TO DO IT IN FUTURE SITUATIONS* From past information, XYZ has collected the following data for the # of building losses per year for their 80 buildings. # of building losses per year # of buildings having these losses 0

Pb 6 binomial using chi-square goodness-of-fit Test

Solve the following Problem: Pb. 6 In a study designed to determine patientâ??s acceptance of a new pain reliever, 100 physicians each selected a sample of 25 patients to participate in the study. Each patient, after trying the new pain reliever for a specified period of time, was asked whether it was preferable to the pain

Goodness Fit for Binomial Distribution

Please see the attached file for the data to go along with these questions. 1.23 Solve the following problem Given the number of male births in German families with eight offspring. One model that might be considered for these data is the binomial distribution. This problem requires a goodness-of-fit test. (a) Estimat

Poisson distribution Confidence Interval

Solve the following problem: Find 95% confidence intervals for the population percent dying based on these data: (1) 199 of 13,078 electronics technicians died of disease; (2) 100 of 13,078 electronics technicians died of circulatory disease; (3) 308 of 10,116 radarmen died (of any cause); (4) 441 of 13,078 electronics techni


A researcher measures the following scores for a group of people. The X variable is the number of errors on a math test, and the Y variable is the person's level of satisfaction with his/her performance. A.) With such ratio scores, what should the researcher conclude about this relationship? B.) How well will he be able

Probability and normal random variables

Please help with the following statistics related problems. Jane Doe learns that the newland Agency has hired only 15 women among its last 40 new employees. She also learns that the pool of applicants is very large, with an equal number of qualified men and women. A) Find the probability that among 40 such applicants, the

Probability in Random Selection

I thought I understood this, but my instructor advised me my answers were wrong. I have not heard back in three days from him and I need to understand this. Please help me. If the table below is not acceptable, please let me know and I will make it in a word document and attach. Thank you. An allergy drug is tested by giv

Mean cost $328, standard deviation $92

In an article about the cost of health care, Money Magazine reported that a visit to a hospital emergency room for something as simple as a sore throat has a mean cost of $328. Assume that the cost for this type of hospital emergency room visit is normally distributed with a standard deviation of $92. a. What is the probabil

Z values

The daily trading volumes (millions of shares) for stocks traded on the New York Stock Exchange for twelve days in a certain period are given below. See attachment. Assume that the probability distribution of trading volumes is approximately normal. 1. Compute mean and standard deviation for daily trading volumes to use