Question

What is the probability that exactly 1 of 10 randomly selected visitors to the ER will die within 1 year? Interpret this result. The probability is 0.2770. (Round to four decimal places as needed).

Answer 1

The probability is approximately 0.0075.

Step-by-step explanation:

To find the probability that exactly 1 of 10 randomly selected visitors to the ER will die within 1 year, we can use the binomial probability formula. The formula is:

P(X=k) = C(n, k) * p^k * (1-p)^(n-k)

Where:

• P(X=k) is the probability of exactly k successes
• C(n, k) is the number of ways to choose k successes from n trials
• p is the probability of success on a single trial
• n is the number of trials

In this case, k=1, n=10, and p=0.2770. Plugging these values into the formula, we get:

P(X=1) = C(10, 1) * 0.2770^1 * (1-0.2770)^(10-1) = 10 * 0.2770 * 0.723^9 = 0.00745

Therefore, the probability that exactly 1 of 10 randomly selected visitors to the ER will die within 1 year is approximately 0.0075.