Probability
Let P(X) =.55 and P(Y) = .35. Assume the probability that they both occur is .20. What is the probability of either X or Y occurring?
Probability
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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?
Sample space and outcomes
A quality control inspector selects a part to be tested. The part is then declared acceptable, repairable, or scrapped. Then another part is tested. List the possible outcomes of this experiment regarding two parts.
Three questions on probability
1) Researchers at a pharmaceutical company have found that the effective time duration of a safe dosage of a pain relief drug is normally distributed with mean 2 hours and standard deviation 0.3 hour. For a patient selected at random: a) What is the probability that the drug will be effective for 2 hours or less? b) 1 hour or
Probability
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
Probability
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?
Probability of house fire death
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
Probability of Minor and Major Accidents
The Georgetown, South Carolina, Traffic Division reported 40% of the high-speed chases involving automobiles result in a minor or major accident. During the month in which 50 high-speed chases occur, what is the probability that 25 or more will result in a minor or major accident ?
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
Probability and National Park Service
A study by the National Park Service 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 a vacationer will visit at least one of these attractions? B. What is the probability .35 called? C. Are the events mutually ex
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
Statistics and Probability in Computing
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
Population sample data, binomial & normal distributions
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.
Distribution questions
1. What are the assumptions underlying a normal distribution? 2. What are the assumptions underlying a binomial distribution? 3. Why do we want to assume that our sample data represent a population distribution? 4. What are the differences between the binomial and normal distributions? 5.
Develop an OC curve for this sampling plan
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
Coffee Time: Expected Payoff
Coffee Time is considering selling juices along with its other products. States of Nature High Sales Med. Sales Low Sales A (0.2) B (0.5) C (0.3) A1 (sell juices) 3000 2000 -6000 A2 (don't sell juices) 0 0
Female Height Probability Distribution
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
Expectation
(See attached file for full problem description) --- Consider a graph having n vertices labeled 1,2,...n, and suppose that between each of the n 2 Pairs of distinct vertices an edge is, independently, present with probability p. The degree of vertex i, designated as Di, is the number of edges that have vertex i
Expectation
1) A coin having probability p of coming up heads is continually flipped until both heads and tails have appeared. find (a) the expected number of flips (b) the probability that the last flip lands heads 2) Ten hunters are waiting for ducks to fly by. when a flock of ducks flies overhead, the hunters fire at the same time, bu
Probablity of Telephone Customers using a Service Provider
The nation's largest cell phone service provider, with 36 million subscribers out of a total of 148 million cell phone users in the U.S. is XYZ company. If six cell phone users are randomly selected on the street, what is the probability that at least one of the is a XYZ subscriber?
Probability distribution for student survey
100 students in a statistics class were asked if they believed that all tests on the Monday following the football game win over their rival should be postponed automatically. The results were: Strongly agree: 40 Agree: 30 Neutral: 20 Disagree: 10 Strongly disagree: 0 Numeric scale
Probability: failure of cd in random sample of 5
If 10% of all disk drives produced on an assembly line are defective, a. What is the probability that there will be exactly one defect in a random sample of 5 of these? b. What is the probability that there will be no defects in a random sample of 5?
Probability on return on investment - Choosing an investment
If one investment can give you $1200 with a probability of .20 and you could lose $800 with a probability of .80, and another investment can give you $600 with a probability of .70 and a loss of $300 with a probability of .30, which investment is better?
Probability of Stocks Combination Formulas
How many different ways can I choose 5 different stocks from a list of 30 stocks? I think I need to use the combination formula. Then based on my answer what is the probability that 3 individuals will select the same 5 stocks?
Leveraging Probability Distributions
On the attach file X school has compiled a large database of survey responses from 288 individuals which contains the following information: (1) Gender (2) Age (3) Department (4) Position (5) Tenure (6) Overall Job Satisfaction (7) Intrinsic Job Satisfaction - Satisfaction with the actual performance of the job (8) Extrins
Uniform Distributions
1) Suppose that A, B, C are independent random variables, each being uniformly distributed over (0,1). What is the joint cumulative distribution function of A, B, C? What is the probability that all of the roots of the equation Ax^2+Bx+C=0 are real? 2) If X is uniformly distributed over (0,1) and Y is exponentially distribute
Determine how many burgers would have to be sold to break even. Determine if these data are normally distributed at a significance level of alpha = 0.05. Simulate the arrival of customers at the pharmacy for the first 20 arrivals. Compute the exponentially smoothed forecast.
1. Funkia Mina is a convenient store located in Goderich and sells a wide variety of supplies. The manager of the store has noticed that several delivery services near Goderich make frequent deliveries. As such, the manager is considering selling burgers at the store. He could buy pre-made burgers and heat them in an oven. The c
Unemployed Workers: Recent Downtrend in Economy
During a recent downtrend in the economy, 30% of the workforce in a medium sized United States town was unemployed, 20% were eligible for food stamps and 10% fell into both categories. If a worker is selected at random in this town, find the probability that he or she a. is unemployed and eligible for food stamps. b. is u
Probability Problems - Defective Fuses
1. A box contains ten fuses of which 3 are defective. Two fuses are selected at random from the box without replacement. What is the probability that exactly one of the fuses selected is defective? 2. A box contains one hundred fuses of which 30 are defective. Ten fuses are selected at random from the box with replacement.