after first day :
d1 birds tagged
N-d1 birds not tagged
Probability that out of d2 birds captured D are already tagged
= (select D tagged birds out d1 tagged birds)*(select (d2-D) non tagged birds out (N-d1) non tagged birds) / (select d2 birds out of N birds)
= P(D | d1,d2,N) = [ (d1CD) * (N-d1)C(d2-D) ] / (NCd2)
{ nCx = n! / (x! * (n-x)!) }
P(D | d1,d2,N) = [ (d1CD) * (N-d1)C(d2-D) ] / (NCd2)
(PLEASE UPVOTE)
There are N birds in a population. The first day we captured and tagged 60, di...
The sizes of animal populations are often estimated by using a capture-tag-recapture method. In this method k animals are captured, tagged, and then released into the population. Some time later n animals are captured, and Y, the number of tagged animals anong the n, is noted. The probabilities associated with Y are a function of N, the number of animals in the population, so the observed value of Y contains information on this unknown N. Suppose that k 4 animals...
I need help with these sampling charts
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Suppose we are interested in estimating the proportion p of a population that has a certain disease. As in Section 2.3 let y;-1 if person i has the disease, and yi 0 if person i does not have the disease. Then p . a Show, using the definition in (2.13), that 22 N- np If the population is large and the sampling fraction is small, so that write (2.26) in terms of the CV for a sample of size 1....
Recall that Benford's Law claims that numbers chosen from very
large data files tend to have "1" as the first nonzero digit
disproportionately often. In fact, research has shown that if you
randomly draw a number from a very large data file, the probability
of getting a number with "1" as the leading digit is about 0.301.
Now suppose you are an auditor for a very large corporation. The
revenue report involves millions of numbers in a large computer
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Page 1 Question 1 Suppose we take repeated random samples of size 20 from a population with a Select all that apply. mean of 60 and a standard deviation of 8. Which of the following statements is 10 points true about the sampling distribution of the sample mean (x)? Check all that apply. A. The distribution is normal regardless of the shape of the population distribution, because the sample size is large enough. B. The distribution will be normal as...
Please m asking for assistance on statistics
Q10. A population consists of the following N-5 scores: 0, 6, 4, 3, and 12 a. Compute u ando for the population b. Find the 2-score for each score in the population c. Transform the original population into a new population of N = 5 scores with a mean of u = 100 and a standard deviation of a = 20 Q11. For a sample with a mean of M = 51, a...
Selecting a random sample is an example of a statistical experiment, and the sample statistic p is a numerical description of the result of the experiment. Therefore, p is a random variable. The probability distribution of p is called the sampling distribution of p In practice, you select one random sample and use the information from that sample to estimate the population parameter of interest. However statisticians sometimes perform a procedure called repeated sampling, in which the experiment is run...
A random sample of n = 10 regions in New England gave the following violent crime rates (per million population). x New England Crime Rate 3.3 3.7 4.2 3.9 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x, Rocky Mountain Crime Rate 3.7 4.1 4.7 5.1 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution...
Please Help me to full the all
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6. The sampling distribution of the sample proportion In 2007, about 30% of new-car purchases in California were financed with a home equity loan. [Source: "Auto Industry Feels the Pain of Tight Credit," The New York Times, May 27, 2008.] The ongoing process of new-car purchases in California can be viewed as an infinite population Define p as the proportion of the population of new-car purchases in California...