For nurses, additional patients contribute heavily to increased stress and job burnout. Suppose the number of patients assigned to each nurse at the Banner Thunderbird Medical Center in Glendale, Arizona, is a random variable with probability distribution given in the table below.
a. Find the mean, variance, and standard deviation of the number of patients assigned to each nurse.
b. Find the probability that the number of assigned patients is greater than one standard deviation to the right of the mean.
c. Suppose three nurses are selected at random. What is the probability that exactly two of the three have five assigned patients?
A certain elevator in Tampa’s tallest office building, 100 North Tampa, is used heavily between 8:00 a.m. and 9:00 a.m. as employees arrive for work. Suppose the number of people who board the elevator on the ground floor going up is a random variable with probability distribution given in the table below.
a. Find m, s2 , and s.
b. For a randomly selected elevator ride from the ground floor going up, what is the probability that the number of riders is within one standard deviation of the mean?
c. For two randomly selected elevator rides from the ground floor going up, what is the probability that both trips have a number of riders more than two standard deviations from the mean?