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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?

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

### Number of arrangements, probability

In a test of a gender-selection method, 14 babies are born and 10 of them are girls. a. Find the number of different possible sequences of genders that are possible when 14 babies are born b. How many ways can 10 girls and 4 boys be arranged in a sequence? c. If 14 babies are randomly selected, what is the probability that

### 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 - Pedestrian Deaths & Intoxication

A. if one of the pedestrians death is randomly selected what is the probability that it involves an intoxicated pedestrian and an intoxicated driver? b. If two different pedestrian deaths are randomly selected what is the probability that in both cases both the pedestrian and the driver were intoxicated? Driver Intoxicated?

### Construct a decision tree to help analyze this problem. What is the best decision?

Please give name of program used to solve problem and details on how you solved each problem. 3-21 During the next year, Allen must decide whether to invest \$10,000 in the stock market or in a CD at an interest rate of 9%. If the market is is good, Allen believes that he could get a 14% return on his money. With a fair mar

### 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

### How do I use the counting principle and tree diagram to determine the number of possibilities?

A specific brand of bike comes in two frames, for males or females. Each frame comes in a choice of two colors, red and blue, and with a choice of three seats, soft, medium, and hard. a) Use the counting principle to determine the number of different arrangements of bicycles that are possible. b) Construct a tree diagram

### 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

### Expected number of sum of random variables

If you have n independent flips of a coin with probability p of landing heads. And a changeover occurs whenever an outcome differs from the one preceding it. Ex: if n=5 and outcome is HHTHT then there are 3 changeovers. We can express the number of changeovers as the sum of n-1 Bernoulli random variables. What is the e

### 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.

### Probability for Selection without Replacement

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

### 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

### Question Regarding Random Selection and Probability

The table below shows the number of tests taken by 30 randomly selected college sophomores Number of tests taken Number of students 0 12 1 8 2 2 3

### Expected profit in charity organizations

At a fair run by a local charity organization, it costs 50 cents to try one's luck in drawing an ace from a deck of 52 playing cards. What is the expected profit per customer, if they pay \$4 if and only if a person draws an ace?

### 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?

### 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