# Question: The CFO of a hospital is concerned about the risk

The CFO of a hospital is concerned about the risk of patients contracting an infection after a one-week or longer stay in the hospital. A long-term study estimates that the chance of contracting an infection after a one-week or longer stay in a hospital is 10%. A random sample of 50 patients who have been in the hospital at least 1 week is selected.

a. If the 10% infection rate is correct, what is the probability that at least 5 patients out of the 50 will have an infection?

b. What assumptions are you making in computing the probability in part (a)?

a. If the 10% infection rate is correct, what is the probability that at least 5 patients out of the 50 will have an infection?

b. What assumptions are you making in computing the probability in part (a)?

## Answer to relevant Questions

Suppose the random variable y has a Poisson distribution. Compute the following probabilities: a. P(y = 4) given μ = 2 b. P(y = 4) given μ = 3.5 c. P(y > 4) given μ = 2 d. P(1 ≤ y Suppose that y is a random variable having a normal distribution with a mean equal to 250 and a standard deviation equal to 10. a. Show that the event y < 260 has the same probability as z < 1. b. Convert the event y < 230 ...A psychologist is interested in studying women who are in the process of obtaining a divorce to determine whether the women experienced significant attitudinal changes after the divorce has been finalized. Existing records ...The level of a particular pollutant, nitrogen oxide, in the exhaust of a hypothetical model of car, the Polluter, when driven in city traffic has approximately a normal distribution with a mean level of 2.1 grams per mile ...In Figure 4.19, we visually inspected the relative frequency histogram for sample means based on two measurements and noted its bell shape. Another way to determine whether a set of measurements is bell-shaped (normal) is to ...Post your question