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5 days ago · Linearity of expectation is the property that the expected value of the sum of random variables is equal to the sum of their individual expected values, regardless of whether they are independent. The expected value of a random variable is essentially a weighted average of possible outcomes.
- Birthday Paradox
The birthday problem (also called the birthday paradox)...
- Monte-Carlo
Monte Carlo simulations define a method of computation that...
- Limits of Sequences
The limit of a sequence is the value the sequence approaches...
- Quicksort Algorithm
Merge sort (sometimes spelled mergesort) is an efficient...
- Independent Events
In probability, two events are independent if the incidence...
- By Complement
The complement of an event is the subset of outcomes in the...
- Combinations
A combination is a way of choosing elements from a set in...
- Birthday Paradox
1 day ago · In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable.
Determine whether the following statement is true or false. Explain. A simple random sample is always preferred because it obtains the same information as other sampling plans but requires a smaller sample size. Choose the correct answer below.
17 hours ago · A quality analyst wants to construct a control chart for determining whether four machines, all producing the same product, are in control with regard to a particular quality attribute. Accordingly, she inspected 880 units of output from each machine in random samples, with the following results:
4 days ago · In most problems, there is no estimator that is guaranteed to give the right answer, because the value of the estimator typically depends on the sample. The error is the difference between the estimate (the value of the estimator for a particular sample), and the true value of the parameter.
4 days ago · The weighted arithmetic mean is similar to an ordinary arithmetic mean (the most common type of average ), except that instead of each of the data points contributing equally to the final average, some data points contribute more than others. The notion of weighted mean plays a role in descriptive statistics and also occurs in a more general ...
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Why is a simple random sample always preferred?
What is a normal random variable?
What is the expected value of a random variable?
Does a random variable x have a two-piece normal distribution?
3 days ago · Introduction to Randomness. This chapter discusses the concept of randomness, the difficulty in defining true randomness, and the idea of unpredictability and lack of patterns.
