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 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
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
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
(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
What are the steps for using the Normal Table to find the following: a. The Probability steps for (z<-2.65) b. The Probability (z>-1.55) c. The Probability (-2.00<z< 2.25) d. The Probability (1.25<z<2.40)
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
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 30 times and the numbers 1 through 6 appear as shown in the following distribution... (See attached file for full problem description)
(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
Help me understand questions that reflect the borrowing decisions simulation.
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
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
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?
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
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
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
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.
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?
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?
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. 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
1) When sending data over the internet there is a certain probability that a message will be corrupted. One way to improve the reliability of getting messages through is to use a Hamming Code. This involves sending extra data that can be used to check the main message. For example a 7 bit Hamming Code contains 4 bits of message
1. Why do we want to assume that our sample data represent a population distribution? 2. What are the differences between the binomial and normal distributions? Thank you.
This is a practice question for my statistic final, if I can get this explained to me the rest will be a piece of cake. I think I need some confidence. At the beginning of each football season Team Sports, the local sporting goods store, purchases 5,000 footballs. A sample of 25 balls is selected, and they are inflated, test
Suppose that female heights are normally distributed with mean 66 inches and standard deviation 2.5 inches. What is the probability of a female height being less than 61 inches? More that 61 inches? Four different classmates answer these in order with some explanation, please. Show the solutions as well as the answer to ea