Question

A new medical procedure produces side effects in 25% of the patients who receive it. In a clinical trial, 60 people undergo the procedure. What is the probability that 20 or fewer experience side effects?

Answer 1

To find the probability that 20 or fewer patients experience side effects, you can use the binomial probability formula.

Step-by-step explanation:

To find the probability that 20 or fewer patients experience side effects, we need to calculate the cumulative probability of experiencing side effects for each number from 0 to 20. We can use the binomial probability formula: P(X ≤ k) = Σ P(X = i), where X is the number of patients experiencing side effects and k is the number we want to find the probability for.

Using the formula, the probability that 20 or fewer patients experience side effects is:

P(X ≤ 20) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 20).