Question - Public Health and Nutrition 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.
|
x
|
3
|
4
|
5
|
6
|
7
|
8
|
|
p(x)
|
0.07
|
0.12
|
0.18
|
0.37
|
0.17
|
0.09
|
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?