Uniform Distribution
The uniform distribution, a fundamental concept in probability theory and statistics, characterizes the equal likelihood of any outcome within a specified range. Unlike other probability distributions, where certain values may be more probable than others, the uniform distribution ensures a constant probability for all values in its domain. This mathematical model finds applications in diverse fields, from random number generation in computer science to representing uncertainty in various real-world scenarios. Understanding the uniform distribution is pivotal in statistical analysis, offering a straightforward and unbiased framework for exploring and interpreting uncertain outcomes.
Questions
- How do you find probabiities using a density curve?
- a) How to plot the demand and supply curves on a two-dimensional diagram ? b) What is the equilibrium price and equilibrium quantity traded ? c) What is the value of excess demand or supply when price is (i) $8, (ii) $13 ?
- What is the difference between a discrete uniform distribution and a continuous uniform distribution?
- A discrete uniform distribution results from recording the final digit of the cell phone number for 3,000 students. In order to be a density curve, what would be the height (or probability) for each of the bars corresponding to the 10 possible outcomes of 0 to 9, inclusive?
- A discrete uniform distribution results from recording the final digit of the cell phone number for 3,000 students. What is the mean of this distribution?
- Assume that a gallon of milk bought at the store goes bad some time in the interval from 5 days to 10 days after purchase. What is the probability that a randomly chosen gallon of milk goes bad between 6 and 8 days after purchase?
- Assume that a gallon of milk bought at the store goes bad some time in the interval from 5 days to 10 days after purchase. What is the probability that it goes bad less than 4.5 days after purchase?
- Assume that a gallon of milk bought at the store goes bad some time in the interval from 5 days to 10 days after purchase. What is the standard deviation of this distribution?
- What are the properties of a density curve in statistics?
- Positive integers from 1 to 45, inclusive are placed in 5 groups of 9 each. What is the highest possible average of the medians of these 5 groups?
- Suppose a random variable #x# is best described by a uniform probability distribution with range 1 to 6. What is the value of #a# that makes #P(x <= a) = 0.14# true?
- Suppose a random variable #x# is best described by a uniform probability distribution with range 1 to 6. What is the value of #a# that makes #P(x < a) = 0.62# true?
- Suppose a random variable #x# is best described by a uniform probability distribution with range 1 to 6. What is the value of #a# that makes #P(x >= a) = 0.45# true?
- The random variable #x# is known to be uniformly distributed between 1.0 and 1.5. What is #P(1.0<=x<=1.25) #?
- The random variable #x# is known to be uniformly distributed between 1.0 and 1.5. What is #P(1.20<=x<=1.5) #?
- An athletic association wants to sponsor footrace.The average time to run the course is 58.6 min, with a s.deviation of 43 min.If the association give certificates to the fastest 20% of the racers, what should the cutoff time be? (normally distribution)
- If a variable is uniformly distributed in the interval #[alpha,beta]#, what is the probability distribution function?