A doctor has assigned the following chances to a medical procedure. full recovery 55% condition improves 24% no change 17% condition no change 4% condition worsens Suppose the procedure is performed on 5 patients. Assume that the procedure is independent for each patient.
What is your question?
To find the expected outcomes for each category, you can multiply the probability assigned to each category by the number of patients (in this case, 5). Here's how to calculate the expected outcomes for each scenario:
1. Full recovery: The probability of full recovery is 55%. Multiply this probability by the number of patients (5):
Expected full recovery = 55% * 5 = 0.55 * 5 = 2.75 patients
So, you can expect approximately 2.75 patients to have a full recovery.
2. Condition improves: The probability of the condition improving is 24%. Multiply this probability by the number of patients (5):
Expected condition improves = 24% * 5 = 0.24 * 5 = 1.20 patients
So, you can expect approximately 1.20 patients to have an improvement in their condition.
3. No change in condition: The probability of no change in condition is 17%. Multiply this probability by the number of patients (5):
Expected no change in condition = 17% * 5 = 0.17 * 5 = 0.85 patients
So, you can expect approximately 0.85 patients to have no change in their condition.
4. Condition worsens: The probability of the condition worsening is 4%. Multiply this probability by the number of patients (5):
Expected condition worsens = 4% * 5 = 0.04 * 5 = 0.20 patients
So, you can expect approximately 0.20 patients to have their condition worsen.
Note that these numbers are expected values and may not reflect the actual outcomes for individual patients.