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A witness testifies that there are about 10 million men who could have been the perpetrator of a particular heinous crime. The probability of a randomly selected man having a DNA profile that is identical with the trace recovered from the crime scene is approximately 0.0001%. If a man does not have this DNA profile, current DNA technology leads to a reported match with probability of only 0.001%. A match between the DNA of the defendant and the traces on the victim has been reported.
a) What is the probability that the reported match is a true match, that is, that the person actually has this DNA profile?
b) What is the probability that the person is the source of the trace?
c) Render a verdict for this case: Guilty or not guilty?
A random sample of 90 voters found that 38% were going to vote for a certain candidate. Find the 99% limit for the population proportion of voters who will vote for that candidate.
Determine the probability distribution for the number of Hondas in a sample of three cars chosen from the top nine and what is the likelihood that in the sample of three at least one Honda is included?
Roger has read a report that the weights of adult mail Siberian tigers have a distribution which is approximately normal with mean μ = 390 lb and σ = 65 lb.
A sample of 200 such candies is randomly selected. Find the mean and the standard deviation for the number of orange candies in such groups of 200.
The National Turkey Association wants to experiment with three different feed mixtures for very young turkeys. Since no experience exists regarding the three mixtures, no assumptions can be made about the distribution of weights.
The statistics showed that students studied an average of 20 hours per week with a standard deviation of 10 hours. What is the probability that a sample mean would exceed 20 hours per week?
the fico credit rating scores obtained in a simple random sample are listed below. as writing the reported mean fico
Suppose you were trying to decide which of two machines to purchase. Furthermore, suppose the length to which the machines cut a particular product part was important. If both machines produced parts that had the same average length, what other co..
an electronic product contains 25 integrated circuits. the probability that any integrated circuit is defective is 0.01
six applications for admission to a local university are checked and it is determined whether each applicant is male
It costs ABC $0.5 per pound to ship the box containing the weights. Because it's an odd-shaped package, though, shipping the bar costs $0.6 per pound plus a $10 surcharge. Find the mean and standard deviation of the company's total cost for shippi..
consider a random sample from a poission ditribution xipoiu.a show that yne-xnbarconverges stochastically to px0e-u.b
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