# Question

Recent years have seen a sharp decline in the Alaska king crab fishery. One problem identified 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 population.

A fisheries 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 P ...... (R)

0.25........... 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.

A fisheries 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 P ...... (R)

0.25........... 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.

## Answer to relevant Questions

For problem 15-49, suppose that the engineer collects a second sample of 20 items and finds that 5 items are defective. Update the probability distribution of the population proportion you computed in problem 15-49 to ...For problem 15-63, suppose that the chief executive officer may hire a consulting firm for a fee of $725,000. The consulting firm will advise the CEO about the possibility of success of the merger. This consulting firm is ...A securities analyst wants to estimate the average percentage of institutional holding of all publicly traded stocks in the United States. The analyst believes that stocks traded on the three major exchanges have different ...Cadbury, Inc., is interested in estimating people's responses to a new chocolate. The company believes that people in different age groups differ in their preferences for chocolate. The company believes that in the region of ...What is the meaning of P(G | D), and how is it computed when prior information is specified?Post your question

0