Probability distribution of the proportion

Reference no: EM13968676

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 biolo- gists 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	0.2
0.40	0.3
0.45	0.1
0.50	0.1

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.

Reference no: EM13968676

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