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# Probability

### Statistics, Mean, Median, Mode, Weighted Averages and Distributions

1. Each of the three measures of central tendency?the mean, the median, and the mode?are more appropriate for certain populations than others. Search the Cybrary and/or Internet. For each type of measure, give two examples of populations where it would be the most appropriate indication of central tendency. 2. Find the mean,

### Probability : Sampling without Replacement

A bag cotains 10 nickels, 5 dimes, and 3 quarters. If you draw 3 coins at random from the bag, without replacement, what is the probability that you will get a quarter, a nickel, and a quarter in that order? An urn contains three red balls numbered 1, 2, 3, four white balls numbered 4, 5, 6, 7, and three black balls numbered

### Simulation, Modeling, Trends and Forecasting

Forecast of volumes of pizzas that will be sold in Johnston County The number of pizzas sold will be extremely important to Lotto Pizza. Two factors will impact this number: population growth and percent of population who will purchase a Lotto Pizza. To establish the first number use the population history provided. Althou

### Joint Probability

· Calculate probabilities and joint probabilities on the events of driving to work everyday for 10 days. · Identify the meaning of independent and dependent of this event · Understand the basic logic of probability theory Monday 30 minutes Tuesday 35 minutes Wednesday 30 minutes Thursday 25 minute

### Probability that two cards drawn from a deck are both aces

1. Two cards are drawn at random from an ordinary deck of playing cards. The first is not replaced before the second is drawn. What is the probability that: a. Both cards are aces? b. At least one card is black? 2. Using the following sample: 28, 30, 24, 30, 32, 40, 22, 25, 26, 34 a. Find the mean. b. Find the media

### Probabilities

Can you think of situations in the business world or other real life situations where you would need to calculate or estimate probabilities? As a corollary, would you say that probabilities have to be numeric (quantitative) in order to be useful to business and industry? Why or why not?

### Conditional probability, combinations, permutations

Find the number of possible combinations of picking 2 items out of 6. ------------------------------------------------------------------------------------------------------- How many permutations of answers are possible in a true-false test consisting of 10 questions? -------------------------------------------------

Pretend you are drawing cards without replacement from the infamous Iraq's most wanted deck issued by the us military. If you are drawing from the full deck of 55 cards, what are the folloing probabilities: a. You draw a card that is not Saddam Hussein? b. You draw two cards, which end up being Saddam Hussein and anothe

### Probability of Coins Drawn

Suppose you have 6 nickels, 4 dimes, and 2 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that a. You will draw a dime? b. You will draw a half-dollar? c. You will draw a quarter?

### Shooting Match Probabilities

In a single duel, Shooter A hits target with a probability of 1/3. B with 1/2. C never misses. ABC fire in turns, A going first, B next, and C last. Shooting cycle repeats until only one dueler has not been hit. Use random # x, where 0 <= x <=1. What happens if the shooter hits the deadliest shooter first? in 10,000 due

### Operations Problem - Queuing

See attached file for full problem description. 3. The neighborhood Clinkos copier store has three copiers: C1, C2, and C3. Customers that come to the store can be categorized into two types of jobs: large volume and small volume jobs. Currently, Copiers C1 and C2 are only assigned to customers with large volume copy jobs, a

### Probability and Selection with Replacement

1) A poll states that 30% of the workers in a large company have new desks. If 6 workers are selected at random, what is the probability that at least one worker has a new desk? 2) In a shipment of 20 televisions, 5 are defective. If 2 television sets are randomly selected and tested without replacement, what is the probabili

### Probability of Selecting Different Things

1) In the class, there are 12 freshmen, of whom 8 are males and 15 sophomores, of whom 5 are females. If one student is selected at random, what is the probability of selecting a freshman or a female? 2) In a recent poll by American Automobile Club, 40% of the surveyed said that they were worried about aggressive drivers. If

### Probability

17. Shown are the percent frequency distributions of job satisfaction scores for a sample of investment banking executive managers (IB) and investment banking financial advisers. The scores range from a low of I (very dissatisfied) to a high of 5 (very satisfied). a. Develop a probability distribution for the job satisfactio

### Probability and Frequency Distributions

14. Due to rising medical costs, 43 million people in the United States go without medical insurance. Sample data representative of the national insurance coverage for individuals 18 years of age and older are shown below. Medical Insurance a. Develop adjoint probability table for these data and use the table to answer the

### Waiting line problem

Speedy oil provides a single channel automobile oil change and lubrication service. Customers provide an arrive rate of 2.5 cars per hour. The service rate is 5 cars per hour. Assume that arrivals follow a Poisson probability distribution and that service times follow an exponential probability distribution. a) What is the a

### 54 statistics and probability review problems

(17) Find the approximate percentile ranks of the following weights. A. 57 pounds b. 62 pounds c. 64pounds d. 59 pounds Weight (pounds) Frequency 52.5-55.5 9 55.5-58.5 12 58.5-61.5

### Parallel treatments of a frequency distribution and a probability distribution.

Parallel treatments of a frequency distribution and a probably distribution. Frequency Distribution Complete the table below for the following data. (Recall that x is the midpoint of the interval.) 14, 7, 1, 11, 2, 3, 11, 6, 10, 13, 11, 11, 16, 12, 9, 11, 9, 10, 7, 12, 9, 6, 4, 5, 9, 16, 12, 12, 11, 10, 14, 9, 13, 10, 15,

### What is the probability that it is a diet soda

Super Cola sales break down as 80% regular soda and 20% diet soda. While 60% of the regular soda is purchased by men, only 30% of the diet soda is purchased by men. If a woman purchases Super Cola, what is the probability that it is a diet soda? .28902 .30435 .69565 .71098

### Expected return and standard deviation of securities, portfolios

There are three securities in the market. The following chart shows their possible payoffs. Probability Return on Return on Return on States of Outcome Security 1 (%) Security 2 (%) Security 3 (%) 1 0.1 0.25 0.25 0.10 2 0.4 0.20 0.15

### Probability for Poisson Random Variable

During summer weekdays, boats arrive at the inlet drawbridge according to the Poisson distribution at a rate of 3 per hour, in a 2-hour period, What is the probability that 2 boats arrive? Answer in the form 0.xxxx or.xxxx

### Find the definition of the distribution of a data population. Find the statistic that measures the width of dispersion of the population data about its mean.

In this unit, you studied several measures of central tendency. By far the most frequently utilized of these measures is the mean of a population. Remember that the source of the data that you want to analyze always comes from what is called a population. If you are interested in the average high temperature in your area for the

### Questions about measures of central tendency (mean, median, mode)

1. Each of the three measures of central tendency?the mean, the median, and the mode?are more appropriate for certain populations than others. Search the Cybrary and/or Internet. For each type of measure, give two examples of populations where it would be the most appropriate indication of central tendency. 2. Find the m

### Operation Management

Operation Management Service Process selection and Design #1 - Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take on average 10 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Po

### Excel Queuing System

Need to solve using Excel Queuing System Sal's international barbershop is a popular haircutting and styling salon near the campus of the University of New Orleans. Four barbers work full time and spend an average of 15 minutes on each customer. Customers arrive all day long, at an average of 12 per hour. When they enter, they

### Excel Queuing System

Need to solve using Excel Queuing System A computer processes jobs on a first-come first-serve basis in a time-sharing environment. The jobs have Poisson arrival rates with an average of six minutes between arrivals. The objective in processing these jobs is that they spend no more than eight minutes on average in the system. H

### Excel Queuing System

Need to solve using Excel Queuing System From historical data, Harry's car wash estimates that dirty cars arrive at the rate of 10 per hour all day Saturday. With a crew working the wash line, Harry figures that cars can be cleaned at the rate of one every five minutes. One car at a time is cleaned in this example of single-

### The Golding Discount Department Store: Excel Queuing System Problem

Excel Queuing System The Golding Discount Department Store has approximately 300 customers shopping in its store between 9am and 5pm on Saturdays. In deciding how many cash registers to keep open each Saturday, Golding's manager considers 2 factors: customer waiting time(and the associated waiting cost) and the service costs

### Need help with Project Network setup

Laura Thompson needs to plan and manage a local construction project. The following table describes the relationships between the activities that need to be completed: ACTIVITY Day A Day M Day B Immediate Predecessors A 4 8 13 B 4 10 15 A C

### Lotto Probability

Twice a week, the State of Michigan runs a 6 out of 49 number lotto that pays at least \$2 million. The State needs to know the probabilities of winning in order to ensure that the lottery has ample reserves for the payouts. You purchase a card for \$1 and pick any 6 numbers from 1 to 49. If your numbers match those that the state