0
The number of possible samples of size 2 from a population of size 10 with replacement is more than number without replacement?
Wiki User
∙ 14y ago
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.
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
What is sampling without replacement?
The representative part of Population is called Sample.
Difference between sampling with replacement and without replacement?
http://www.ma.utexas.edu/users/parker/sampling/repl.htm
If 5 cards are drawn from a deck of cards without replacement What is the Probability that at least One of the cards is a 3?
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?
Difference between sampling with replacement and sampling without replacement?
Sampling with replacement:Consider a population of potato sacks, each of which has either 12, 13, 14, 15, 16, 17, or 18 potatoes, and all the values are equally likely. Suppose that, in this population, there is exactly one sack with each number. So the whole population has seven sacks. If I sample two with replacement, then I first pick one (say 14). I had a 1/7 probability of choosing that one. Then I replace it. Then I pick another. Every one of them still has 1/7 probability of being chosen. And there are exactly 49 different possibilities here (assuming we distinguish between the first and second.) They are: (12,12), (12,13), (12, 14), (12,15), (12,16), (12,17), (12,18), (13,12), (13,13), (13,14), etc.Sampling without replacement:Consider the same population of potato sacks, each of which has either 12, 13, 14, 15, 16, 17, or 18 potatoes, and all the values are equally likely. Suppose that, in this population, there is exactly one sack with each number. So the whole population has seven sacks. If I sample two without replacement, then I first pick one (say 14). I had a 1/7 probability of choosing that one. Then I pick another. At this point, there are only six possibilities: 12, 13, 15, 16, 17, and 18. So there are only 42 different possibilities here (again assuming that we distinguish between the first and the second.) They are: (12,13), (12,14), (12,15), (12,16), (12,17), (12,18), (13,12), (13,14), (13,15), etc.What's the Difference?When we sample with replacement, the two sample values are independent. Practically, this means that what we get on the first one doesn't affect what we get on the second. Mathematically, this means that the covariance between the two is zero.In sampling without replacement, the two sample values aren't independent. Practically, this means that what we got on the for the first one affects what we can get for the second one. Mathematically, this means that the covariance between the two isn't zero. That complicates the computations. In particular, if we have a SRS (simple random sample) without replacement, from a population with variance , then the covariance of two of the different sample values is , where N is the population size.
What is the probability of drawing two aces from a deck of 52 cards?
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
Why are the With Replacement and Without Replacement probabilities different?
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.
What is sampling without replacement?
The representative part of Population is called Sample.
As defined in the text random sampling requires sampling with replacement?
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.
Replacement rate the number of births needed to keep a population at a stable level without immigration requires a total fertility of?
2.1
What is the probability of drawing 2 cards that are 8?
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.
How do you get a replacement national insurance card without calling the UK from Germany?
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.
How many sets of four cards are possible if four cards are drawn in succession without replacement from a standard deck of 52 cards?
There are 270,725 sets.
Do they make car speaker repair kits?
It's usually not possible to repair a speaker without taking it somewhere.You can buy replacement parts however.
Would it be possible to tell the difference between a sample of water from Idaho and from New York?
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.)
What is probability without replacement?
completely useless.
What is Thanington Without's population?
Thanington Without's population is 1,300.
What is Clifton Without's population?
Clifton Without's population is 5,113.
