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Fault Tree Analysis

Assume the probability of a tire blowout is 0.102% per 50,000 miles of use and that a person travels 13,000 miles per year in a car. Assume that the probability of loss of control is 30% if the blowout occurs on the front tires and 15% for the rear tires. If control is lost, the probability is 50% of veering to the right and 50%

Random Variables Problem Set

Please provide step by step solution with all work shown for the attached problem sets. It is important to see the steps required to solve the problems so I can understand the process for future problems: (see attachment) 1. A die is loaded so that the probability of any side showing is proportional to the number on that side

Statistical Reasoning Questions

I need some help with these statistic problems, with step-by-step detailed answers for my understanding: Item 1 Two students are in the same mathematics class. On 14 out of 15 quizzes, student A has outscored student B by at least 10 points. Which of the following statements best describes this situation? Explain your reaso

Binomial probabilities and sample probabilities

A normal population has a mean of 80.0 and a standard deviation of 14.0. Compute the probability of a value between 75.0 and 90.0. Compute the probability of a value 75.0 or less. Compute the probability of a value between 55.0 and 70.0. In a binomial situation n = 4 and p = .25. Determine the probabilities of the following e

Assessing probabilities and converting to a similar scale

Stacy is considering inviting Ned to lunch for Valentines Day and would strongly prefer NOT to run into her ex-boyfriend Jim while having lunch with Ned. Knowing Jim's dining preferences quite well, she assesses the following probabilities for Jim eating at the various restaurants as (1) Sam's Pizza, 0.1 (2) Sy's Sandwiches, 0.2

Sample proportion

Suppose that 15% of all adults jog. An opinion poll asks a simple random sample of 500 adults if they jog. a) What is the sampling proportion in the sample who jog? b) According to the 68-95-99.7 rule what is the probability that the sample proportion who jog will be 11.8% or greater?

Testing of a hypothesis based on a single sample

The 3 problems are from the topic "Test of Hypothesis Based on a Single Sample" of Probability and Statistic. I need assistance with these problems. Need to find out the correct solution and answers. 9. Two different companies have applied to provide cable television service in a certain region. Let p denote the proportion


According to an article appearing in the Wall Street Journal, about 70% of all U.S. households have a cellular phone. suppose that you are conducting a survey of customer satisfaction regarding their cellular phone. If you called 11 households selected at random, what is the probability that: (a) every household has a cellul

Statistics Questions

8. In Syed's town there are 11,303 Hindi speakers. In Rajiv's town there are 19,251 Hindi speakers. In Jon's town there are 1,092 Hindi speakers. For this situation, what is the variable under consideration? 9.The members of a board of directors have the following roles: president (P), vice president (V), secretary (S),

Probability of rolled die, blood type and Hindi speakers

1. If two balanced die are rolled, the possible outcomes can be represented as follows: (1,1) (2,1) (3,1) (4,1) (5,1) (6,1) (1,2) (2,2) (3,2) (4,2) (5,2) (6,2) (1,3) (2,3) (3,3) (4,3) (5,3) (6,3) (1,4) (2,4) (3,4) (4,4) (5,4) (6,4) (1,5) (2,5) (3,5) (4,5) (5,5) (6,5) (1,6) (2,6) (3,6) (4,6) (5,6) (6,6) Determine the p

Quantities Methods in Business

Question 4: The Evergreen Fertilizer Company produces fertilizer. The company's fixed monthly cost is $25,000, and its variable cost per pound of fertilizer is $0.15. Evergreen sells the fertilizer for $0.40 per pound. Determine the monthly break-even volume for the company. Question 12: If the Evergreen Fertilizer Com


A sample of waterfall heights in Hawaii show that the average height is 261.5 feet with a standard deviation of 13.76 feet. What is the probability AND percent chance of randomly selecting a waterfall in Hawaii that has a height between 255.7 feet and 273.2 feet.

Relative Dispersion & Probability

Part A) What is the relative dispersion for each group? Explain the relative dispersion difference between the two? Mean StdDev Group 1 78 15 Group 2 47 10 Group 1 - Trashcan wt in rural area Group 2 - Trashcan wt in city NOTE: Both sample

Probability - Combination Types

1. Assume you have ten (10) very expensive, leather bound books (all different authors) and you want to display these books on your fireplace mantle, but you are unsure how you want to arrange the books (by author, by height, year published, value . . . ). How many different ways can you arrange the books? 2. Assume you re

Quantitative Methods, Maximax and Maximin Conditions

(See attached file for full problem description) --- 5. A farmer in Georgia must decide which crop to plant next year on his land: corn, peanuts, or soybeans. The return from each crop will be determined by whether a new trade bill with Russia passes the Senate. The profit the farmer will realize from each crop given the two

Quantitative Methods: Management Science and Probability and Stats

Please refer to the attached ms word file. #1: The Willow Furniture Company produces tables. The fixed monthly cost of production is $8,000, and the variable cost per table is $65. The tables sell for $180 a piece. a. For a monthly volume of 300 tables, determine the total cost, total revenue, and profit. b. Determin

Simulation & Probability

Please see the attached file for question. I am unable to get the correct answers as listed in my document even though I have the correct formula entered. (See attached file for full problem description) --- Develop a worksheet for this problem. Safety First is considering the introduction of a new product. The fixed co


Please see attached files for question. I can't seem to get the answer for PART3. (See attached file for full problem description with equations) --- A bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-

According to an IRS study, it takes an average of 330 minutes for taxpayers...

18. According to an IRS study, it takes an average of 330 minutes for taxpayers to prepare, copy, and electronically file a 1040 tax form. A consumer watchdog agency selects a random sample of 40 taxpayers and finds the standard deviation of the time to prepare, copy, and electronically file form 1040 is 80 minutes. a. What a

Bernoulli Trials / Geometric and Binomial Probability Models

1. suppose a computer chip manufacturer rejects 3% of the chips produced because they fail presale testing. A. What is the probability that the sixth chip you test is the first bad one you find? My Answer: Using the Geometric Probability Model Conditions: 1. Only 2 possible outcomes - yes 2. p is constant - yes, 0.03

Math, Logic & Probability

When a pair of dice is rolled, the total will range from 2 (1,1) to 12 (6,6). It is a fact that some numbers will occur more frequently than others as the dice are rolled over and over. A. Why will some numbers come up more frequently than others? B. Each die has six sides numbered from 1 to 6. How many possible ways can a

Purchase probability

Steele Electronics, Inc. sells expensive brands of stereo equipment in several shopping malls throughout the northwest section of the United States. The Marketing Research Department of Steele reports that 30% of the customers entering the store, who indicate they are browsing, will make a purchase in the end. Let the last 20 cu

Probability of picking a winning horse

If the probability of picking a winning horse in a race is 0.2, and if X is the number of winning picks out of 20 races, what is: a) P [X=4] b) P[X<=4] c) E(X) and Var(X)

Geometric Random Variables

I need some help learning how to apply the normal approximation in this question: Suppose that Yn for NB(n,p). Give a normal approximation for P(Yn<y) for large n. Hint: Yn is distributed as the sum of n independent geometric random variables. Use the negative binomial distribution (see attached file for better formula repres

Probabilities Applied to Sodas

I am having problems with this question: Super Colas 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? The choices are .28902 .30435 .69

Discovering the Probabilities

I know that the probability is .025 that an applicant at my bank will not be able to an installment loan. Last month we made 40 loans. A. What is the probability that 3 loans will be defaulted? B. What is the probability that at least 3 loans will be defaulted?

Statistics Probability Problem

Be sure to show all work 1. The Masterfoods company says that before the introduction of purple, yellow candies made up 20% of their plain M&M's, red another 20%, and orange, blue, and green each made up 10%. The rest were brown. If you pick an M&M at random, what is the probability that: a. it is brown? b. it is yel

Using Poisson and Binomial Distribution

The random variable X has a Poisson distribution with a mean of 5. The random variable Y has a binomial distribution with n=X and p=1/2. a) Find the mean and variance of Y. b) Find P(Y=0)