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    Probability

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    Tree Diagram of Children's Eye Color, Gender and Hobbies

    A group of children can be classified according to eye color (blue, brown, green), gender (male, female), and hobby (collecting stamps, collecting baseball cards, collecting shells, collecting stickers). How many possible different classifications are there?

    A university cafeteria line in the student center is a self-serve facility in which students select the food items they want and then form a single line to pay the cashier. Students arrive at a rate of about four per minute according to a Poisson distribution. The single cashier ringing up sales takes about 12 seconds per customer, following an exponential distribution.

    A university cafeteria line in the student center is a self-serve facility in which students select the food items they want and then form a single line to pay the cashier. Students arrive at a rate of about four per minute according to a Poisson distribution. The single cashier ringing up sales takes about 12 seconds per cust

    probability of sample proportion by normal approximation

    40% of households prefer new package. The probability that a random sample of 300 households will have a sample proportion greater than .45 is: ______ The probability that the 300 household sample proportion will be between .35 and .45 is: _____.

    Selection without replacement

    Employees A-I and A-no B-yes C-no D-no E-yes F-no G-no H-no I-no If a sample of two employees is selected WITHOUT replacement, the number of elementary outcomes in the sample space is: ______ If selected WITH replacement, the outcome is:_______

    Quantitative Analysis for Management - Probability

    Last year, at Northern Manufacturing Company, 200 people had colds during the year. One hundred fifty-five people who did no exercising had colds, and the remainder of the people with colds were involved in a weekly exercise program. Half of the 1000 employees were involved in some type of exercise. a. What is the probabil

    Probability of normal distribution

    Steve Goodman, production foreman for the Florida Gold Fruit Company, estimates that the average sale of oranges is 4,700 and the standard deviation is 500 oranges. Sales follow a normal distribution. a. What is the probability that sales will be greater than 5,500 oranges? b. What is the probability that sales will be

    Probability - Hitting a Bull's-Eye

    The Northside Rifle team has two markspersons, Dick and Sally. Dick hits the bull's-eye 90% of the time, and Sally hits the bull's-eye 95% of the time. a. What is the probability that either Dick or Sally or both will hit the bull's-eye if each takes one shot? b. What is the probability that Dick and Sally will both hit

    probability and binomial distribution

    There are 10 questions on a true-false test. A student feels unprepared for this test and randomly guesses the answer for each of these. a. What is the probability that the student gets exactly 7 correct? b. What is the probability that the student gets exactly 8 correct? c. What is the probability that the student gets

    Statistics - Probability- Normal Distribution

    Question : A psychologist examined the effect of chronic alcohol abuse on memory. In this experiment, a standardized memory test was used. Scores for this test for the general population form a normal distribution with µ = 50.00 and a σ = 6.00. A sample of n = 22 alcohol abusers has a mean score of 47.00. Is there eviden

    Hourly workers mean wage calculation

    The mean wage for hourly workers at a plant {= $14.25} per hour. Assume that the population standard deviation is{$2.00}. What is the probability that the sample mean is at least $ 13.80 per hour, given a random sample of {n=50 workers}

    Probability with Football Fans

    In its third year, a football team averaged 16,050 fans per game, with a standard deviation of 2,500 fans. A.) What is the probability that the number of fans at any given game was greater than 20,000? B.) What is the probability that the number of fans at any given game was less than 14,000 or greater than 17,500?

    Harley Davidson Director of Quality

    The director of quality for Harley Davidson is conducting his weekly spot check of the transmission gear box of the newly introduced Wind Phantom series motorcycle. In this procedure, a random sample of 8 gear boxes are removed from the inventory pool of components and are checked for manufacturing defects. Historically, only

    Introduction to Probability

    The Gift Boutique had been the target of many shoplifters in the past, but its newly installed camera security system has helped in the apprehension of 240 "sticky -fingered" customers in the last six months. A breakdown of these 240 shoplifters revealed the following: Males=140, 80 were first time offenders and 60 were re

    Probability of Mutually Exclusive Dental Events

    If a person visits his dentist, suppose that the probability that he will have his teeth cleaned is 0.44, the probability that he will have a cavity filled is 0.24, the probability that he will have a tooth extracted is 0.21, the probability that he will have his teeth cleaned and a cavity filled is 0.08, the probability that he

    Probability using counting rules

    1) The waiting room for jury selection has 40 women and 30 men to choose from. A jury of 12 is selected from these 60 people, what is the probability that exactly 5 of the jury members will be women? 2) there are 48 raincoats fro sale at a local men's clothing store. Twelve are black. If six raincoats are selected to be mar

    Echelon Method and maximization

    11) Use the echelon method to solve the system of three equations in three unknowns x - y + 4z = 19 2c + z = 4 x + 3y + z = -5 14) Find x1 is greater than or equal to 0 and x 2 is greater than or equal to 0 such that: 2x1 + 3x2 >/60 2x1 + 5x2 </ 120 and z = 5x1 + 4x2 is maximized (see attachment for full probl

    Modelling and Simulatoin

    An increase in the size of the barge unloading crew at the Port of New Orleans (see section 15.5) has resulted in a new probability distribution for daily unloading rates. In particular, Table 15.11 may be revised as shown here: Daily Unloading Rate Probability 1 0.03 2 0.1

    Revenue maximization for an appliance store.

    An appliance store sells two types of refrigerators. Each Cool-It refrigerator sells for $640 and each Polar sells for $740. Up to 330 refrigerators can be stored in the warehouse and new refrigerators are delivered only once a month. It is known that customers will buy at least 80 Cool-Its and at least 100 Polars each month. Ho

    Drawing colored balls

    There are 7 black balls and 6 red balls. You draw 5. What is the probability that no more than 1 black ball is drawn?

    Statistics Multiple Choice: Probability Distributions

    Question 1: Fifty-three percent of the population possesses characteristic X. If 15 people are randomly selected from the population, what is the probability that exactly 9 possess characteristic X? a) .2009 b) .1653 c) .1780 d) .1102 Question2: A researcher is interviewing groups of 15 people to determine how m

    Mean, Median, Mean Deviation, Standard Deviation, and Probability

    1. Owens Orchards sells apples in a large bag by weight. A sample of seven bags contained the following numbers of apples: 23, 19, 26, 17, 21, 24, 22. a. Compute the mean number and median number of apples in a bag. b. Verify that S (X - X) = 0. 2. The Citizens Banking Company is studying the number of times the ATM loca

    Discrete probability distribution

    11. A technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 1,2, 3, or 4 hours. The different types of malfunction occur at about the same frequency. A. Develop a probability distribution for the duration of a service call. B. Draw a graph of th

    List experimental outcome, develop a probability distribution, etc.

    5. To perform a certain type of blood analysis, lab technicians must perform two procedures. The first procedure requires either one or two separate steps, and the second procedure requires either one, two, or three steps. A. List the experimental outcomes associated with performing the blood analysis. B. If the random var

    Probability Questions

    51. The following cross tabulation shows household income by educational level of the Head of household (Statistical Abstract of the United States:2002) Under 25.0- 50.0- 75.0- 100 or Education Level 25 49.9 74.9 99.9

    Probability Questions

    31. Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = .30 and P(B) = .40 a. What is P(A B)? b. What is P(A | B)? c. A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutua