a) Simple random sampling uses a sample of size n from a population of size N to obtain data that can be used to make inferences about the characteristics of a population. Suppose that, from a population of 56 bank accounts, we want to take a random sample of four accounts in order to learn about the population.

How many different random samples of four accounts are possible? (blank)

b) A consulting firm submitted a bid for a large research project. The firm's management initially felt they had a 50-50 chance of getting the project. However, the agency to which the bid was submitted subsequently requested additional information on the bid. Past experience indicates that for 80% of the successful bids and 35% of the unsuccessful bids the agency requested additional information.

Compute the posterior probability that the bid will be successful given a request for additional information. (Round your answer to two decimal places.)

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Please fill in the two blanks and state answers clearly. THANK YOU!!!