California Consulting, LLC is a consulting business operated by Dr. Matecki and one of his colleagues. In a typical year, California Consulting responds to 12 requests for proposals (RFPs) in hopes of obtaining business. Each RFP results in either a 'success' (California Consulting is awarded the contract) or a 'failure' (California Consulting does not win the business). Assume that the outcomes follow the binomial distribution with the probability of success equal to 0.4.
a. What is the probability of exactly 6 successful RFPs? What is the formula used