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What are the types of random error?
Random errors can be parallax and from changes in the environment.
Find a formula for the probability distribution of the random variable x representing the outcome when a single die is rolled once?
Possible Outcomes when die is rolleddot showed by die , possible outcome in single roll1,12,13,14,15,16,1thus , formula for the probability distribution of the random variable x will beP(X=x) = x/6Cx Where as x = 1
What are the examples of random error?
sampling variability and improper calibration of an instrument. --Actually, improper calibration of an instrument would be a systematic error, as it would always be in the same direction and by the same amount. --Random errors are unknown, unpredictable changes in the instruments or the environment. For example, the temperature of the room changed, or the doors of a balance were left open. --Random errors are things that can be corrected for (mostly) by repeating the experiment or averaging the current results.
What is meant by probability distribution?
I will give first the non-mathematical definition as given by Triola in Elementary Statistics: A random variable is a variable typicaly represented by x that has a a single numerical value, determined by chance for each outcome of a procedure. A probability distribution is a graph, table or formula that gives the probabability for each value of the random variable. A mathematical definition given by DeGroot in "Probability and Statistics" A real valued function that is defined in space S is called a random variable. For each random variable X and each set A of real numbers, we could calculate the probabilities. The collection of all of these probabilities is the distribution of X. Triola gets accross the idea of a collection as a table, graph or formula. Further to the definition is the types of distributions- discrete or continuous. Some well know distribution are the normal distribution, exponential, binomial, uniform, triangular and Poisson.
What is a random number table?
Random numbers (or random deviates) are numbers chosen totally by chance, but also conform to a certain distribution. The most common distribution is the uniform distribution. If I say that a number is chosen totally by chance between 1 and 100, and there is equal chance that every number between 1 and 100 can be chosen, then this is a uniformly distributed random number. If I list these generated numbers in a table, then this is a random number table. A program like Excel can easily generate uniform random numbers from 0 to 1, by entering +rand() into a column in the spreadsheet. To calculate a new table, press F9.
