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Recent years have seen a sharp decline in the Alaska king crab ?shery. One problem identi?ed as a potential cause of the decline has been the prevalence of a deadly parasite believed to infect a large proportion of the adult king crab popula- tion. A ?sheries management agency monitoring crab catches needed to estimate the proportion of the adult crab population infected by the parasite. The agency's biologists constructed the following prior probability distribution for the proportion of infected adult crabs (denoted by R):
R
0.25
P(R )
0.1
0.30
0.2
0.35
0.40
0.3
0.45
0.50
A random sample of 10 adult king crabs was collected, and 3 of them were found to be infected with the parasite. Construct the posterior probability distribution of the proportion of infected adult crabs, and plot it.
Two letters are chosen at random without replacement from word statistical. Determine the probability that both letters are s?
wo baseball teams, the Toronto Jaybirds and the Philadelphia Cheesesteaks, are members of a fictitious baseball league. Whenever two teams in this league face each other, they play a series of up to five games. The first team to win three games wi..
How much should they charge for a 2 year extended warranty so that they will still make money selling the extended warranties in the long run and keep the cost of the warranties as low as possible to make them more marketable?
a random sample of size 9 is collected from a normally distributed random variable. the sample mean is 6.507 and the
A glass jar contains 6 red, 5 green, 8 blue and 3 yellow marbles. If a single marble is chosen at random from the jar, what is the probability of choosing a red marble? a green marble? a blue marble? a yellow marble?
find the following probabilities for the standard normal random variable zgive answers to four decimal places.a pz ?
1. a researcher wishes to estimate with 90 confidence the proportion of adults who have high-speed internet access. he
What is the probability a person in the study preferred plain bottled water?
A coin-operated coffee vending machine dispenses, on the average, 6 oz of coffee per cup. Can this statement be true of a vending machine that occasionally dispenses only enough to fill the cup half full (say, 4 oz)?
Calculation of Standard Deviation and Variance
The researcher found that Abraham Lincoln's educational score did not correlate highly with the expected variable. What is wrong?
Consider a large population with a mean of 170 and standard deviation of 25. A random sample of size 36 is taken from the population. Calculate the standard error of the sampling distribution of this sample mean and round your answer to the hundre..
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