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Probability

Binomial Probability Distribution for a Procedure's Yield

Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. n = 10, x = 2, p = 1/3

Expected Profit Using Probability

A contractor is considering a sale that promises a profit of $31,000 with a probability of 0.7 or a loss (due to bad weather, strikes, and such) of $13,000 with a probability of 0.3. What is the expected profit?

Clinical Tests and Headaches

The probabilities were obtained by entering the values of n = 6 and p = 0.167. In a clinical test of the drug lipitor, 16.7% of the subjects treated with 10mg experienced headaches. In each case, assume that 6 subjects are randomly selected and treated with 10 mg of atorvastatin, then find the indicated probability. Binomia

5 Assorted Probability Questions

1. For a particular group of taxpayers, 25 percent of the returns are audited. Six taxpayers are randomly selected from the group. a. What is the probability two are audited? b. What is the probability two or more are audited? 2. On the average an artist sells two of her works per hour at weekend art shows.

Multiplication Rule and Sample Spaces in Probability

A test consists of multiple-choice questions, each having four possible answers (a,b,c,d) one of which is correct. Assuming that you guess the answers to six such questions. a.) Use the multiplication rule to find the probability that the first two guesses are wrong and the last four guesses are correct. That is, find P (WWC

Probability of Guessing a Combination Lock on the First Try

A typical "combination" lock is opened with the correct sequence of three numbers between 0 and 49 inclusive. (A number can be used more than once.) What is the probability of guessing those three numbers and opening the lock with the first try?

Probability Questions

Prepare answers to the following assignments: 1. Sixty percent of the students at Scandia Tech drive to class and 30 percent have GPAs of at least 3.00. Ten percent of the students have a 3.00 GPA and drive to class. If we select a student at random, what is the likelihood that the student had a 3.00 or drives to class?

Quantitative Analysis for Jim's Management Decision

Jim Sellers is thinking about producing a new type of electric razor for men. If the market were favorable, he would get a return of $100,000, but if the market for this new type of razor were unfavorable, he would lose $60,000. Since Ron Bush is a good friend of Jim Sellers, Jim is considering the possibility of using Bush Ma

Probability Determination of a Jar of Marbles, Cards and a Derby Winner

-A jar contains 5 yellow marbles, 16 green marbles, and 8 black marbles. If one marble is selected at random, what is the probability that it is not green? -One card is selected at random from a standard 52-card deck of playing cards. Find the probability that the card selected is a red king. - The odds against Thunderbolt

Emperical Probability and Expected Value

-1000 tickets for prizes are sold for $2 each. Seven prizes will be awarded - one for $400, one for $200, and five for $50. Steven purchases one of the tickets. a) Find the expected value b) Find the fair price of the ticket. -During the last hour, a telemarketer dialed 20 numbers and reached 4 busy signals, 3 answering m

Determining Probability

The results of a survey for an airline are shown below Traveler Male Female Total Business 57 92 149 Vacation 72 74 146 Total 129 166 295 Use the chart to find the probability that the traveler was a) male b) on vacation given the trave

Sample Spaces and Venn Diagrams

In an experiment, a pair of dice is rolled and the total number of points observed. (a) List the elements of the sample space (b) If A = { 2, 3, 4, 7, 8, 9, 10} and B = {4, 5, 6, 7, 8} list the outcomes which comprise each of the following events and also express the events in words: A', A union B, and A intersection B.

The Probability of Finding a Playing Card in a Deck

Three cards are drawn from a deck of 52 playing cards and not replaced. Find the probability of the following: a) Getting three jacks b) Getting an ace, a king, and a queen in order. c) Getting a club, a spade, and a heart in order d) Getting three clubs

Probability of Selling

An artist entered two paintings (Lighthouse and Old Cathedral) in a show. He feels that the probabilities are 0.15, 0.18, and 0.11, respectively, that he will sell the Lighthouse, the Old Cathedral, or both. What is the probability that he will sell either of the two paintings?

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

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 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

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

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