The following table shows the density for the random variable X, the number of patients seeking emergency room treatment unnecessarily per day in a very small hospital.

X 0 1 2 3
f(x) 0.4 0.3 0.2 0.1

Consider a random sample of two days. What is the probability that mean number of patients seeking emergency room treatment unnecessarily for this sample is at most 1.5?

Question

The following table shows the density for the random variable X, the number of patients seeking emergency room treatment unnecessarily per day in a very small hospital. 

X        0       1       2       3 
f(x)   0.4    0.3    0.2    0.1 

Consider a random sample of two days. What is the probability that mean number of patients seeking emergency room treatment unnecessarily for this sample is at most 1.5?