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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.
Of the 38 numbers on a roulette wheel, 18 are red, 18 are black and 2 are green. If the wheel is balanced, the probability of the wheel landing on red is 0.474.
Determine the mean and the standard deviation of the following frequency distribution. (Round your answers to 2 decimal places.)
Determine the probability that computer will fail within 12 months?
Rock Paper Scissors is a simple game in which two players compete by simultaneously choosing rock, paper, or scissors.
You suspect the distribution of the population is not Normal and may be moderately skewed. Which of the following statements is correct?
Is there evidence that the population mean amount is different from 8.17 ounces? (Use a 0.05 level of significance and determine the p-value and interpret its meaning.
ABC Inc. and XYZ Co. are the two dominant companies providing chargers, adapters, and other accessories for cell phones.
Identify the sample space of the probability
Calculate all measures of central tendency and depict what happens before and after the addition of the two transfer students.
the mean gross annual income of certified welders are normally distruted with the mean of 20000 and a standard
Consider a box game with 2 boxes. Box 1 has one drawer, and Box 2 has 5 drawers. A player will select a box at random and then pick a drawer from that box at random. You have two prizes to place in the drawers. Where should you place them to creat..
Could this information be viewed as representing the ratio scale of measurement? If so , explain why. If not, why not.
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