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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)

Random Variables for Marbles

One box contains five red and six black marbles. A second box contains 10 red and five black marbles. One marble is drawn from box 1 and placed in box 2. Two marbles then are drawn from box 2 without replacement. What is the expected number of red marbles obtained on the second draw?

Decision making

Decision making under risk is a probabilistic decision situation. True False The several criteria (maximax, maximin, equally likely, criterion of realism, minimax) used for decision making under uncertainty may lead to the choice of different alternatives. True False One disadvantag

Binomial Distribution Scenarios

In each situation below, is it reasonable to use a binomial distribution for the random variable X? Give reasons for your answer in each case. (a) An auto manufacturer chooses one car from each hour's production for a detailed quality inspection. One variable recorded is the count X of finish defects (dimples, ripples, scratc

Probabilities & Decision Making for a Winery

I need help with the following question set: A winery purchased land for establishing a new vineyard. Management is considering 2 varieties of white grapes for the vineyard: Chardonnay & Riesling. The Char. grapes would be used to make a dry wine and the Riesling grapes would be for a semi-dry Riesling wine. It takes almost

PDF of processors

(See attached file for full problem description with full equations) --- 1. In a computing facility there are two types of processors: type A and type B. Suppose random variable X represents the processing time of a job. With type A processor, the processing time has PDF: and with type B processor it is: Also

Calculating Probabilities of finding oil

I need help with the following questions. Please show your work so I can practice with other problems. Thank you An oil company purchased an option on land in Oklahoma. Preliminary studies assigned the follwing prior probabilities. P(high-quality oil) = .50 P(medium-quality oil) = .20 P(no oil) = .30 a. What is t

Calculating Probabilities

Please show work so I can learn how to do this. (See attached file for full problem description) --- I need help with the following. Please show work so I can learn how to do this. A study of job satisfaction was performed for 4 occupations: doctor, chemist, CPA, & dentist. Job satisfaction was measure

A six-sided die is rolled...

A six-sided die is rolled 30 times and the numbers 1 through 6 appear as shown in the following distribution... (See attached file for full problem description)

Chevalier de Mere's puzzle and other questions of probability

(See attached file for full problem description) --- 1. Chevalier de Mere's puzzle (Scandal of Arithmetic) Consider two experiments: a. Roll a fair die 4 times. Record the number on top. b. Roll a pair of fair dice 24 times, record the pair on top. For experiment a, find the probability of event A: at least one

Probability of Being Contacted in an Emergency

Jules, Vincent, and Mia are physicians at the local hospital. One of their duties is being on call during non-working hours to handle any emergencies that might come up. Each carries a pager that can be activated by hospital personnel. Suppose Jules responds to his pager 80% of the time, Vincent responds to his pager 55% of the

Probability Distribution for a Basketball Game

Please calculate the probability distribution and answer questions a and b At the end of a basketball game, a team is down by 1 point. As the last play, a player from that team throws a three-point shot that misses, but the player is fouled and he gets to take 3 free throws (each worth 1 point) to end the game. On any given f

Probability of Selecting Certain Marbles from a Bag

A box contains 4 marbles: 2 red, one blue and one green. Two marbles will be selected at random. Find the probability of selecting each of the following. A) with replacement B) without replacement i A red marble and then a blue marble ii Two blue marbles iii No red marbles iv No green marbles.


Find the number of different arrangements of the letters in the word MISSISSIPPI?

Set Theory

Records at an industrial plant show that 12% of all injured workers are admitted to a hospital for treatment, 16% of all injured employees are back on the job the next day. Two percent are both admitted to the hospital for treatment and back at work the next day. If a worker is injured, what is the probability that the worker wi

Probability and Statistics

1. A package of frozen vegetables has a label that says "contents 32 oz." The company that produces these packages knows that the weights are normally distributed with mean 32 oz. and has a standard deviation of 2 oz. If a package is chosen at random, what is the probability it will weigh (Hint: Draw a picture) a. More than 36

Normal distribution

Profits (X ) in an industry consisting of 100 firms are normally distributed with a mean value of $1.5 million and a standard deviation of $120,000. Calculate : (a) P(X<$1.3 million) (a) P($1200,000 £ X £ $1,400,000) Suppose a random sample of 10 firms gave a mean profit of $900,000 (b) Establish a 95% confidence in


A cola-dispensing machine is set to dispense 9.00 ounces of cola per cup, with a standard deviation of 1.00 ounces. The manufacturer of the machine would like to set the control limit in such a way that for samples of 36,5 percent of the sample means will be greater than the upper control limits, and 5 percent of the sample mean

Measures of central tendency-the mean, the median, and the mode

Each of the three measures of central tendency-the mean, the median, and the mode-are more appropriate for certain populations than others. For each type of measure, I need two additional examples of populations where it would be the most appropriate indication of central tendency.

A Discussion On Mutual Exclusivity

The events X and Y are mutually exclusive. Suppose P(X) = .05 and P(Y) =.02. What is the probability of either X or Y occurring? What is the probability that neither X nor Y will happen?


The probability -------------------------------------------------------------------------------- 1) A very rich investor has a small amount of spare cash which she wishes to invest. She has four options to choose from. She thinks company 1 has a 43% chance of giving her a return of $327, otherwise she believes it will lose he


Given a worn machine that creates defects at the average rate of 5 units per hour, what 's the probability of no defects occurring in any specific hour? What's the probability of 8 or more defects in any hour?

Window Frames and Defects

I need some help answering this question: A manufacturer of window frames knows from long experience that 5% of the production will have some type of minor defect that will require an adjustment. What is the probability that in a sample of 20 window frames: A. None will need adjustment? B. At least one will need adjustment?

Probabilty Question

A study by the national park services revealed that 50% of vacationers going to the Rocky Mountain region visit Yellowstone Park, 40% visit the Tetons, and 35% visit both. A. What is the probability of vacationer will visit at least one of these attractions? B. What is the probability .35 called? C. Are the events mutally e

In a certain town 63% of the houses have smoke detectors.

In a certain town 63% of the houses have smoke detectors. The fire brigade estimates that people die 24% of the time when the fire is in a house without a smoke detector, but only 13% of the time when there is a smoke detector. In addition 31% of callouts are false alarms that do not involve a fire. What is the probability that