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# Probability

### 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

### Probability questions: coin toss, bag of marbles, conditional probability, and card decks

1. You flip a coin three times, the possible outcomes are HHH, HHT, HTH, THH, HTT, THT, TTH, and TTT. What is the probability of getting at least two tales? 2. A bag contains 7 red marbles, 3 blue marbles, and 5 green marbles. If a marble is selected from the bag at random, what is the probability that it is blue? 3. Let

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

### Calculating Conditional Probability

Employees of a local company are classified according to gender and job type. The following table summarizes the number of people in each job category. Job Male (M) Female (F) Administrative (AD) 110 10 Sal

### Joint and marginal distribution functions

I am having troubles with #2 part (b) in the attached document. In part (a) I found what I believe to be the joint distribution for the transformation. I am questioning my interval for T (domain) for this joint distribution however. To complete part (b) it will be necessary to take the integral of the joint in part (a) with resp

### Probability distribution table problems

I have finished part of the table but I need help with the last two rows and the problems listed below. I need help on how the problems are solved and the correct formulas or clear solutions. I really do want to understand how to get the correct answer to the problems listed in attachment.

### Probability

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.

### Use the Poisson distribution to find the indicated probabilities.

1. Radioactive atoms are unstable because they have to much energy. When they release their extra energy, they are said to decay. When studying cesium 137, it is found that during the course of decay over 365 days, 1,000,000 radioactive atoms are reduced to 977,287 radioactive atoms. a) find the mean number of radioactive ato

### Binomial Probability Distribution - Greater, Less or Inclusive

Assume a binomial probability distribution with n = 40 and π = .55. Compute the following: a. The mean and standard deviation of the random variable. b. The probability that x is 25 or greater. c. The probability that x is 15 or less. d. The probability that x is between 15 and 25 inclusive.

### 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

### Probabilty and Statistics past paper Q3

Please provide answers with clear explanations explaining solutions and any formulas used clearly shown. IMPORTANT: Could you please add at the end of the question a list of formulae under relevant headings of other distributions I ask for. For example if I ask for binomial forumulae give all the formulae that would be requir

### Job Satisfaction Data

Using our data set from Unit 1, compose an email to the head of the American Intellectual Union which discusses the following: How you would use the concept of probabilities to apply to profiles for hiring more satisfied individuals? Job Satisfaction is an attitude about one's job. It may be measured globally or via facets (

### 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

### Bank of Florida: Continuous Probability Distributions

The price of shares of Bank of Florida at the end of trading each day for the last year followed the normal distribution. Assume there were 240 trading days in the year. The mean price was \$42.00 per share and the standard deviation was \$2.25 per share. a. What percent of the days was the price over \$45.00? How many days wou

### Probability

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-

### Means & Poisson Distributions

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-up window occur at random, with a mean arrival rate of 24 customers per hour or 0.4 customers per minute. 1) What is the mean or expected number of custome

### 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

### Normal Populations and Standard Deviations

A normal population has a mean of 80.0 and a standard deviation of 14.0. a. Compute the probability of a value between 75.0 and 90.0. b. Compute the probability of a value 75.0 or less. c. Compute the probability of a value between 55.0 and 70.0.

### 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

### Probability of Telemarketer Success

A telemarketer makes six phone calls per hour and is able to make a sale on 30 percent of these contacts. During the next two hours, find: a. The probability of making exactly four sales. b. The probability of making no sales. c. The probability of making exactly two sales. d. The mean number of sales in the two-hour perio

### 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

### Moment Generating Functions

Can you please explain me how I can use the moment generating functions to find the limiting distribution: Suppose that Zi for N(0,1) and that Z1, Z2,...are independent. Use moment generating functions to find the limiting distribution of... (see attached file).

### Probability from a Joint Probability Distribution Function

Five independent observations are drawn from the pdf, f(t) = 2t, 0<=t<=1. X is a random variable that denotes the number of t's that fall in the interval 0<=t<1/3. Y is a random variable that denotes the number of t's that lie in the interval 1/3<=t<2/3. Find p(x,y)=p(1,2).

### Mean and Standard Deviation of Demand Probability

How do I figure out the mean and sample deviation of the following demands and probabilities: DEMAND probability 7000 .05 8000 .10 9000 .25 10000 .30 11000 .20 12000 .10