Question: Step 8 Since events E and F are mutually exclusive, the probability of either of these events occurring will be found by adding the individual

Step 8 Since events E and F are mutually exclusive, the probability of either of these events occurring will be found by adding the individual probabilities. That is, P(E F) = P(E) + P(F). We have already determined P(E) and now need to calculate P(F). It was given that 18% of the deferred early admission applicants during the regular admission process are admitted at a later date. We previously determined the probability an application for early admission was deferred. Thus, P(F) can be calculated by multiplying 18% and the probability an application for early admission was deferred P(D). Refer to your Excel spreadsheet. A B C D 1 Applications for early admission 2 Outcome Event Frequency Probability 3 Admitted E 1,031 P(E) = 0.3624 4 Rejected R 852 P(R) = 0.2995 5 Deferred D 962 P(D) = 0.3381 6 Total 2,845 7 8 Total count of admitted students, event A 2,371 9 P(E | A) = 0.4348 10 11 P(F) = 12 P(E) + P(F) = The formula to calculate P(F) in cell D11 will be =0.18*D5 Correct: Your answer is correct. seenKey =0.18*D5 . The formula to calculate P(E F) = P(E) + P(F) in cell D12 will be =D11+D3 Correct: Your answer is correct. seenKey =D11+D3 . Step 9 The formula to calculate P(F) in cell D11 will be = 0.18*D5. The formula to calculate P(E F) = P(E) + P(F) in cell D12 will be = D11 + D3. Calculate the probabilities P(F) and P(E F) = P(E) + P(F). A B C D 1 Applications for early admission 2 Outcome Event Frequency Probability 3 Admitted E 1,03

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