Answer:
The expected number of new claims filed each day is 1.8.
Step-by-step explanation:
We are given the following probability distribution:
[tex]P(X = 0) = 0.25[/tex]
[tex]P(X = 1) = 0.15[/tex]
[tex]P(X = 2) = 0.25[/tex]
[tex]P(X = 3) = 0.25[/tex]
[tex]P(X = 4) = 0.1[/tex]
a. What is the expected number of new claims filed each day
Multiplication of each outcome by its probability, so:
[tex]E(X) = 0*0.25 + 1*0.15 + 2*0.25 + 3*0.25 + 4*0.1 = 1.8[/tex]
The expected number of new claims filed each day is 1.8.
