The probability that a randomly selected patient who visits the emergency room (ER) will die within 1 year of the visit is 0.05.

(a) What is the probability that exactly 1 of 10 randomly selected visitors to the ER will die within 1 year? Interpret this result.

(b) What is the probability that fewer than 2 of 25 randomly selected visitors to the ER will die within 1 year? Interpret this result.

(c) What is the probability that at least 2 of 25 randomly selected visitors to the ER will die within 1 year? Interpret this result.

(d) What is the probability that at least 8 of 10 randomly selected visitors to the ER will not die within 1 year?

(e) Would it be unusual if more than 3 of 30 randomly selected visitors to the ER died within 1 year? Why?

(f ) In a random sample of 1000 visitors to the ER, how many visitors are expected to die within the next year? What is the standard deviation number of deaths?

(g) At a particular emergency room, a researcher obtains a random sample of 800 visitors and finds that after 1 year 51 of them have died. Do you think this particular emergency room should be investigated to see if something unusual is occurring?