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Probability

Probability Distributions

1. Suppose you randomly draw two marbles, without replacement from a bag, containing six green, four red and three black marbles. a) Determine the probability that both marbles are red. b) Determine the probability that you pick at least one green marble. 2. What is the probability of at least two people in a class o

Introduction to Probability Review

Two coins are tossed simultaneously. What is the probability of tossing two heads? A coin is tossed three times. What is the probability of tossing exactly two heads? Two standard dice are rolled. What is the probability of rolling a total of 9? If the odds in favour of rain tomorrow are 4:7, what is the probability of

Probability Measurements

1 ) The following are measurements of the diameter of engine crankshafts in millimeters. The process mean is supposed to be 224. What is the probability that a similar study would have the same sample mean or higher? 224.120 224.001 224.017 223.989 223.960 223.961 224.089 2) Cola drink makers try to keep the sweetness of

Marginal & Conditional Probability for Marketing Survey

2. For a marketing survey, 200 customers were classified according to their age (in years) and their favorite type of donut. Age of Customer Glazed Chocolate-covered Crème-filled Cake <21 3 25 10 7 21-30 5 23 26 10 31-45 15 12 3 20 >45 29 5 1 6 (a) What is the probability that a person prefers Creme-filled donut and is a

subjective probability

1. Match each of these terms with one of the phrases below. Terms: a. sample space b. events c. complement d. subjective probability e. outcomes f. theoretical probability g. trials Phrases: 1. deduced from analysis of all possible outcomes 2. the set of all possible outcomes 3. repetitions of a probability experimen

Poisson arrival, Exponential service time

The Friendly Neighbor Grocery Store has a single checkout stand with a full-time cashier. Customers arrive randomly at the stand at a mean rate of 30 per hours. The service-time distribution is exponential, with a mean of 1.5 minutes. This situation has resulted in occasional long lines and complaints from customers. Therefore,

From a Probability and Statistics math class

5. The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square inch) and has standard deviation 2. a. What is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.5? b. Find an interval that includes, with probability 0.95, the avera

Expected Cash Flow and Net Present Value

Cooper Construction is considering purchasing new, technologically advanced equipment. The equipment will cost $625,000 with a salvage value of $50,000 at the end of its useful life of 10 years. The equipment is expected to generate additional annual cash inflows with the following probabilities for the next ten years: Proba

Statictis Problems

These are some of the questions I've run into and need help for. I'm unable to solve some of these problems. I'm studying for my final next week and I'm preparing for that. 7.16 Daily output of Marathon's Garyville, Louisiana, refinery is normally distributed with a mean of 232,000 barrels of crude oil per day with a s

Probablity

1. Suppose you have 4 nickels, 6 dimes, and 4 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 nickel? c. You will draw a quarter? 2. You are rolling a pair of dice, one red and one green. What is the probability of

Small questions

1. A particular spell has a .18 (i.e. 18%) chance to do critical damage. What is the probability that a spell can be cast 10 times in a row without doing critical damage? A) .137 B) .820 C) .862 D) <.001 2. What is the probability of the sum of two dice equaling an odd number? A) .50 B) .38 C) .25 D) .61 3. A coin

Probability

Suppose that you select 2 cards without replacement from an ordinary deck of playing cards. a. If the first card that you select is a king, what is the probability that the second card that you select is a heart? b. If the first card that you select is a heart, what is the probability that the second card that you select

Probability

Employees of a company fall into four categories: Managers (4%), Administrators (12%), Technicians (26%) and Labourers (58%). If 20% of the Managers, 5% of the Administrators, 3% of the Technicians and 0.5% of the Labourers have the opportunity of promotion in the next year: (i) What is the probability that a randomly chose

Premutations, probability, variance, data display

Please make examples thorough enough at least 100 words each response. In your own words what is the difference between permutations and combinations? I need 3 real world examples of where order matters in a choice â?¦.and have to make and 3 examples of choices where order does not matter. What are some of the benefits

Probability Question

Topic 18 Exp 3 The following table contains information on the 2002 resident population of the U.S., by age. (Source: The New York Times Almanac 2004, page 277.)

Probability questions

7. Suppose that you are dealt a hand of 9 cards from a standard deck of 52 playing cards. a. What is the probability that you are dealt exactly 3 kings? b. What is the probability that you are dealt 9 cards of the same suit? c. What is the probability that you are not dealt at least 2 cards of each suit? 11.

Decision Analysis

1. The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature: State of Nature Decision Alternative S1 S2 S3 D1 250 100 25 D2 100 100 75 A. Construc

theoretical probability

1. The theoretical probability of undesirable side effects resulting from taking Pyrene is 1 in 15. If 60 people take Pyrene to relieve congestion, theoretically how many will encounter undesirable side effects? 2. A bag contains 16 yellow marbles, 6 green marbles, and 7 red marbles. What is the chance of drawing a yellow ma

Statistics

If the annual proportion of erroneous income tax returns filed with the IRS can be looked upon as a random variable having a beta distribution with &#945;= 2 and &#946; = 9, what is the probability that in any given year there will be fewer than 10 percent erroneous returns

Probability and sequence

5. If Kate starts on the paving stone outside her house and hops onto every second stone, she will get to the second to last stone before the house of her friend Sam. (see diagram) If Kate now turns round on this stone and hops onto every third stone, she will get back to the third stone. (see diagram) Kate turns

Objective function and probability,

1. A company has 3 goals, listed in order of importance. 1. Achieve a total profit of at least $240 million. 2. Maintain the current employment level of 3,000 employees. 3. Invest no more than $70 million in capital. What is the objective function for a goal program for this situation? A) P1d1-, P2d2-, P3d3+ B) P1d1-, P2

Probability distribution for demand

Loebuck Grocery orders milk from a dairy on a weekly basis. The manager of the store has developed the following probability distribution for demand per week (in cases):.........see attached

Decision Analysis and Probability Tree

Problems: 9-13, 15, 16, 18, 19, 20 Scenario 15-1 An investor is considering 4 investments, A, B, C and leaving his money in the bank. The payoff from each investment is a function of the economic climate over the next 2 years. The economy can expand or decline. The following payoff matrix has been developed for the decisio

Probability Problems

1. Of 23 college sophomores at Crocodile Community College, 12 preferred pepperoni pizza, 7 preferred supreme, and 4 preferred cheese. If we picked a college sophomore at Crocodile Community College at random, theoretically what is the probability that he or she would prefer cheese? Give solution exactly in reduced fraction form

Mathematics

1. The theoretical probability of undesirable side effects resulting from taking Pyrene is 1 in 15. If 210 people take Pyrene to relieve congestion, theoretically how many will encounter undesirable side effects? 2. A bag contains 5 yellow marbles, 16 green marbles, and 2 red marbles. What is the chance of drawing a red mar

Determine the probability

1. 30 basketballs (15 Spalding, 10 Wilson, and 5 other brand name balls) are on a basketball court. Barry Wood closes his eyes and arbitrarily picks up a ball from the court. Determine the probability that the ball selected is a Wilson or a Spalding. 2. A pet shop is selling a calico cat, a Siamese cat, a Persian cat, an

Unusual Observation Statistics

The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean be considered unusual. For a sample of n=65, find the probability of a sample mean being greater than 228 if &#956; =227 and &#963; = 3.9 . For a sample of n=65, find the probability of a sampl

Probability problems

Please show ALL WORK. 1. If an ace has a face value of one, a 2 has a value of two, a Jack has a value of 11, and so on for all of the cards, what is the probability of drawing a card that has a face value of less than six? 2. A friend tells you that a tree diagram can be used to generate the sample space for any experime

Statistics

The graph below shows the results of a survey of drivers who were asked to name the most annoying habit of other drivers. You randomly select six people who participate in the survey and ask each one of them to name the most annoying habit of other drivers. Let x represent the number who named talking on the cell phone as the mo