Explore BrainMass

# Probability

### Joint PDFs

Respond to OTA: Basically the first equation is the joint pdf of a sample maximum and minimum - if I am not wrong - it is just the formula. The problem is finding the joint pdf from the sample size drawn from the pdf (2nd equation given between the bolded text ). So basically A(1) and A(n)corresponds only to the 2nd equation

### Arrangements, Combinations, Permutations and Probabilities

1. You have 3 suits, 7 shirts, 10 ties--how many arrangements--answer and equation. 2. 20 cars, 5 defective, sample of 4 selected, what is probability one of the 4 is defective--answer and equation. 3. You have 4 identical gift cards-to give among 8 customers --how many arrangements are there--answer and equation. 4. Yo

### Probability of People Being Married at a Party

50 people at a party, 10 are married. If two are chosen at random, what is the probability both are married.

### Probability that Two People Were Born on a Monday

Two people are selected at random. What is the probability both born on Monday? Please provide a formula and answer.

### Normal Distribution, Probability Density Function, Frequency Distribution

Dear OTA, Please explain with necessary steps. Thanks 1. In its standardized form, the normal distribution: A. has a meaning of 0 and a standard deviation of 1 B. has a mean of 1 and a variance of 0 C. has a total area equal to 0.5 D. is left-skewed 2. If a particular data set is approx. normally distributed, we

### Normal Probability

The annual income of a large group of supervisors at Belco Industries follows the normal distribution. The mean amount earned yearly is \$48,000 and the standard deviation is \$1,200. The length of service of the same supervisors also follows the normal distribution, with a mean of 20 years and a standard deviation of 5 years. Joh

### Random Sample - In a poll to estimate presidential popularity, each person in a random sample of 1,000 voters was asked to agree with one of the following statements

9.48. In a poll to estimate presidential popularity, each person in a random sample of 1,000 voters was asked to agree with one of the following statements: 1. The President is doing a good job. 2. The President is doing a poor job. 3. I have no opinion. A total of 560 respondents selected the first statement, indicat

2. The Retread Tire company recaps tires. The fixed annual cost of the recapping operation is \$60,000. The variable cost of recapping a tire is \$9. The company charges \$25 to recap a tire. a. For an annual volume of 12,000 tires, determine the total cost, total revenue, and profit. b. Determine the annual break-even volume

### Simple Probability with Contagious Diseases

Consider 5 families, each consisting of 4 persons. If it is reported that 6 of 20 individuals in these families have a contagious disease, what is the probability that at least 3 of the families will be quarantined.

### Place-Plus, a real estate development firm is considering several alternative development projects.

Please see attached file for full problem description. 13. Place-Plus, a real estate development firm is considering several alternative development projects. These include building and leasing an office park, purchasing a parcel of land and building an office building to rent, buying and leasing a warehouse, building a strip

### Determining Probabilities - Ancorage, Alaska

If you can show me how you did each step that would be great. Assume that the population of Ancorage, Alaska is 265,000. The City of Anchorage is made up of 40% Females. Further assume we take a random sample of 11 individuals. (Assume 60% are Males).Determine the probabilties. A.That all are males B.Thats between 5 and

### Business analyst has estimated the probabilities for a change

Please see attached file. a) What is the value of the missing probability? b) What is the probability of a positive rate rise? c) Which of the four announcements is most likely? d) What is the expected value for this distribution?

### A grocery chain wants to taste-test a private label cola drink.

A grocery chain wants to taste-test a private label cola drink. A tester is given eight unmarked glasses, four containing the private-label drink and four containing a nationally advertised cola. The tester is asked to identify the four glasses containing the private-label drink. How many different choices of four glasses can

### Multiple Choice - What scale of measurement are these numbers considered?

1-1 The members of each basketball team wear numbers on the back of their jerseys. What scale of measurement are these numbers considered? A. Nominal B. Ordinal C. Interval D. Ratio E. None of the above 1-2 Respondents were asked, "Do you now earn more than or less than you did five years ago?" What is this level

### Important information about Probability and Distributions

- What is the gender distribution (% females and % males)? - What is the "tenure with company" distribution by gender? - What % of the survey participants are in each department? - What is the mean overall satisfaction by gender? - If we choose a person at random from this database: o What is the probability that this

### Probability - The Journal News

In the July 29, 2001 issue of The Journal News (Hamilton Ohio) Lynn Elber of the Associated Press reported on a study conducted by the Kaiser Family Foundation regarding parents' use of television set V-chips for controlling their children's' TV viewing. The study asked parents who own TV's equipped with V-chips whether they us

### Poisson and exponential distributions

Please see attached file for full problem description. The maintenance department of a factory claims that the number of breakdowns of a particular machine follows a Poisson distribution with a mean of two breakdowns every 500hours. Let x denote the time (in hours) between successive breakdowns. a. Find lambda and mu(x)

### Probability problems explained in this answer

With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is okay. A manufacturer of CDs has just manufactured 4000 CDs, and 4% are defective. If 10 of these CDs are randomly selected for testing, what is

### Expected number of sightings

3. The number of UFO (Unidentified Flying Object) sightings per week in Roswell, NM is a random variable with the cumulative distribution function given below. x 0 1 2 3 4 5 F(x) .10 .30 .60 .80 .90 1.0 a. Find the probability that there are two or more sightings in a particular week. b. Find the expected number of sightings

### The U.S. Bureau of Labor Statistics collected data on the occupations of workers

Please show all work with answers. Only 2 questions I need step by step solution showing the formulas used and intermediate steps, etc. U.S. Bureau of Labor Statistics The U.S. Bureau of Labor Statistics collected data on the occupations of workers 25 to 64 years old. The following table shows the number of male and fema

### Probability of working employees

1. Store A, B, and C have 50, 75, and 100 employees, respectively. At store A 50% of the employees are women, at store B 60 % of the employees are women, and at store C 70% of the employees are women. Resignations are equally likely for all employees, regardless of gender. One employee resigns, and this employee is a woman. What

### Determining Probability: Alaska Airport Example

Here is another probability question I am having difficulty with. I have included the data. I think I am on the right track with the first part but not sure with the rest. - What Percentage of all Alaska Airline flights were delayed? That is use the data to estimate the probability that an Alaska Airline flight will be dela

### Probability and Weibull Distribution

Assume the life of a rotating item follows a Weibull distribution with the shape parameter (or slope) = 2 and the scale parameter = 10,000 hours. a. Determine the probability that the rotating item lasts at least 8000 hours. b. Determine the mean time until failure of the item. c. If 10 rotating items are used in a larger com

### Statistics - Probability and Random Selection

I am having difficulty with this question for my stats class. I have included the table for the data set. Using the table, I am to estimate the probability that a randomly selected 21-49 year old consumer would: - Give the phrase a rating 4 or 5 given that the consumer is male and a situation in which the consumer is femal

### A Probability Distribution Question

It was found that jet pilots blackout threshold are X~N(4.5g, .7g) If only the top 25% allowed to apply to be astronauts, what is the cut off point FindP(X>x)=.25

### Explaining Probability Recurring Events

The mean time between reoccurring events is exponentially distributed with a mean time between events of 15 minutes. a. What is the probability that there are no events within a 30-minute period? Answer 0.00043 ? b. What is the probability that at least one call arrives within a 10-minute interval? Answer 0.4866 ? c. Wha

### Probability and Statistical Analysis of Products

1. At a factory, the fill volume of Coke cans is normally distributed with a mean of 12.4 fluid ounces and a standard deviation of 0.1 fluid ounce. a. What is the probability a fill volume is less than 12 fluid ounces? b. If all Coke cans less than 12.1 or greater that 12.6 ounces must be destroyed, what proportion of Coke

### Statistics and Probability Determination

1. For each part, decide whether the blank should be filled in with =, <, or >, and give a short but clear explanation. a. (probability that the total after rolling 2 fair dice is 9) ___ (probability that the total after rolling 2 fair dice is 10) b. (number of ways to split 10 basketball players into 2 teams of 5) ___ (10 5

### Question about Probability for normal distribution

1. Find the probability that a standard normal random variable will assume a value between: a. z = 1.5 and z = .75 b. Greater than 1.25 c. Find a z such that 70% of the area is above that value. 2. In recent years, the use of the telephone as a data collection instrument for opinion polls has been steadily incr