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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

Calculations with Mean and Standard Deviation

The verbal part of the SAT has a mean of 500 and a standard deviation of 100. If we randomly selected 1500 students who had taken the the verbal SAT how many would score lower than 250?

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.

A TV remote has keys for channels 0-9...

A TV remote has keys for channels 0-9. If you selected one key at random. a. What is the probability that you press channel 3? b. What is the probability that you press a key for a even number channel? (Assume 0 is even) c. What is the probability that you press a key for a number less than 7?

An experimental serum was injected into 500 guinea pigs...Empirical probability

An experimental serum was injected into 500 guinea pigs. Initially, 150 of the guinea pigs had circular cells, 250 had elliptical cells, and 100 had irregularly shaped cells. After serum was injected, none of the guinea pigs with circular cells were affected, 50 with elliptical cells were affected and all of those with irregul


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

Probability - Choices for an editor

An editor has 8 manuscripts for mathematics and 5 for computer science book. If he is to select 5 math and 3 computer books for publications, how many different choices does he have for each?

Statistical probability problem

Give a precise, complete and unambiguous response to this question, free of mathematical jargon to the following question. Please consider issues as the independence of events or the relative frequency definition of probability. Husband and wife are both sickle cell carriers. The doctor says that the husband and wife should

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

Probability and Samples

I have a population of 100, mean of 500 and standard deviation of 100. I am asked what range of values should contain the sample mean 90% of the time. I have calculated the standard error =10. I don't know what figure to use in the z scores tables, column d. 1/2 of 90% is 45% or .4500. My choices in column D are .4495

Selecting a sample of a proudction line filling cans

You have a production line filling cans with an average weight of 1005gr and standard deviation of 15gr. If you selected a sample of 100 cans, what is the probability that the combined weight of the 100 cans exceeds 100.8 Kg?

Lottery Tickets Probability

If ten lottery tickets are sold and you and your friend each bought one, what is the probability your friend will get first prize and you will get second? What about the probability you will get first prize and she will get second?


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