Of course it is.
The first draw always has 10 possibilities. The difference comes in the second draw.
The second draw has 10 possibilities if the first one was replaced, but only 9 possibilities
if the first one wasn't replaced.
The representative part of Population is called Sample.
http://www.ma.utexas.edu/users/parker/sampling/repl.htm
If five cards are drawn from a deck of cards without replacement, what is the probability that at least one of the cards is a heart?
The answer depends on how many cards are drawn, and whether they are drawn with or without replacement. If 1 card is drawn, the probability is 0, if 50 cards are drawn (without replacement), the probability is 1. If only two cards are drawn, at random and without replacement, the probability is (4/52)*(3/51) = 12/2652 = 0.0045
If 1 queen was drawn out of the 52 card deck without replacement, the probability of choosing a queen on the 2nd draw is 3/51 or 1/17.
Because with replacement, the total number of possible outcomes - the denominator of the probability ratio - remains the same. Without replacement the number of possible outcomes becomes smaller.
The representative part of Population is called Sample.
Not necessarily. A random sample can occur with or without replacement, depending on what makes more sense. For instance, trying to calculate the odds of a dice roll would require a random sample with replacement (because it is perfectly possible to get a 6 on each and every die); trying to calculate the odds of a poker hand, however, would require random sampling without replacement (the ace of spades can only show up once in any given round of dealing). when the population size is large enough, the difference between the two is meaningless; people who make national surveys, for instance, usually choose people randomly without replacement (there's no possibility they will survey the same person twice) but treat it as though the were sampling with replacement (because the math is easier). The only requirement for a random sample is that each object that might be chosen has a known and well-defined probability of being chosen at any given moment. For random samples with replacement that probability is always the same; For random samples without replacement that probability is determined by the objects that have previously been selected.
Population replacement level refers to the fertility rate needed for a population to replace itself without migration, typically around 2.1 children per woman. This rate ensures the current population size is maintained over time. A fertility rate below the replacement level can lead to a declining population and various social and economic challenges.
Independent samples are a set of observations or data points that are not influenced by or related to each other. Each sample is collected without affecting or being affected by the other samples, allowing for statistical analysis to make conclusions about a broader population. This lack of relationship between the samples is important for ensuring the validity of statistical tests and analyses.
2.1
Unfortunately this is not possible. I had the same problem about ten years ago. The Department of Work and Pensions in Newcastle, are the only people that have the authority to issue a replacement.
The answer depends on how many cards are drawn, whether or not at random, from an ordinary deck of cards, with or without replacement. Without that information it is not possible to give a meaningful answer.
It's usually not possible to repair a speaker without taking it somewhere.You can buy replacement parts however.
There are 270,725 sets.
It is possible to tell the difference between two samples of water, yes. If you have reference samples, you could even tell which of them was from where. Without reference samples, you'd have to make some guesses about what you would expect New York water to be like vs. what you would expect Idaho water to be like (I'd expect NY water to be softer, but I'm not a geologist and could easily be wrong about that.)
In geography, replacement level refers to the fertility rate at which a population exactly replaces itself from one generation to the next, without migration. This level is typically estimated to be around 2.1 children per woman in developed countries, accounting for infant mortality and other factors. When a population is at replacement level, its size remains stable over time, assuming no significant changes in migration patterns.