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
Problems involving determining probabilities and chance, odds on and odds against certain outcomes
1)How well we understand the difference between empirical and theoretical probability is an important part of our ability to apply probability to a real world set of data. What is the difference between empirical and theoretical probability? Give two to three examples of professions where probability could be used. Explain your
3. At a certain university, 30% of the students major in mathematics. Of the students majoring in mathematics, 60% are males. Of all the students at the university, 70% are males. a. What is the probability that a student selected at random in the university is male and majors in mathematics? b. What is the probability that a
4. Seventy percent of all Big Burger chain stores decided to advertise in their local newspapers. Of those chain stores that advertised in their local newspapers, 60% had an increase in sales. Of those chain stores that did not advertise in their local newspapers, 25% had an increase in sales. a. What is the probability that
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
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
Your specific assignment for this week is to select a type of quantitative data to collect from your own life. Some examples of data to collect could be: How long it takes to drive to work each day. How many hours of TV shows you watch each day. Number of phone calls you get each day. In a brief paper, describe the
Solve the following problems showing your work: 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 d
There are 7 prisoners, and 7 rooms each with a switch. Assume all switch are off at first. Now there is a fair coin in each room. Each prisoner goes to each room and flips the coin. If the coin comes up heads, prisoner changes the state of the switch. Else, prisoner moves to the next room and repeats. What is the average numb
See the attached file. A school principal is looking at the combination of subjects students are studying. He learns that the probability that a student is studying Chemistry is 0.5 and that the probability that a student is studying Physics is 0.1. He has also found that the probability that a student is studying Chemist
An engineer has 200 resistors that he keeps in one box. Resistors are colored to help their identification, and in this box there are 30 white resistors, 50 black resistors, 80 red resistors and 40 green resistors. (a) If he chooses one resistor from this box without looking what is the probability that the resistor is eithe
Exercises on Sets 1. Please provide a short definition of the following: a. Set b. Subset c. Proper Subset d. Complement of a set e. Union of a set f. Intersection of a set Solve following problems showing your work: 2. Set X = {3, 7, 11, 21, 39, 43, 567}, Set Y = {1, 3, 6, 8, 11, 42, 567}
Please give step-by-step process for solving the following problem. Suppose that X and Y are continuous random variables with joint pdf (probability distribution function) fXY(x,y) = kx^2y, when 0 < x < y < 1, 0, otherwise. (a) Determine the value of k. (b) Find P(X+Y > 1).
Please give step-by-step process for solving the following probability problems. Let X ~ Exp(lamda1) and that Y ~ Exp(lambda2). Further assume that X and Y are independent. (a) Write down the joint pdf (probability distribution function) of X and Y, fXY(x,y). (b) For t > 0, prove that P(Y < tX) = t lambda2 / ( lambda1 +
Please explain how to solve this problem. An investment advisor recommends the purchase of shares in Probaballisitics, Inc.. He has made the following predictions: P(Stock goes up 20% | Rise in GDP) = .6 P(Stock goes up 20% | Level GDP) = .5 P(Stock goes up 20% | Fall in GDP) = .4 An economist has predicted that the p
Suppose that two teams that meet in the world series are closely matched: the better team wins a given game with a probability of .55. What is the probability that the better team will win the World Series? Treat the games as tosses of a biased coin. Express the event "the better team wins" in terms of elementary Bernoulli event
The average stock price for companies making up the S&P 500 is $30,and the standard deviation is $8.20. Assume the stock prices are normally distributed. a. What is the probability that a company will have a stock price of at least $40? b. What is the probability that a company will have a stock price no higher than $20?
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,
28. A marble is drawn from a box containing 3 yellow, 4 white, and 8 blue marbles. Find the odds in favor of drawing the following. a. A yellow marble b. A blue marble c. A white marble If two cards are drawn without replacement from an ordinary deck, find the probabilities of the following results 8. The second is blac
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
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
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
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
Using a deck of 52 cards (13 red numbered 1-13, 13 blue numbered 1-13, 13 green numbered 1-13 and 13 black numbered 1-13): 1. describe the steps neccessary to calculate the theroretical probability of a) drawing 2 red cards one after another (with replacement)from a given deck b) drawing 3 cards with the same value withou
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
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
1. How many ways are there of drawing a red, a black, and a green ball from a bucket with 2-Red, 2-Black, and 5-Green balls? 2. What is the probability of drawing exactly one ball of each color if you select 3 balls from the bucket above?
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
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