Answer:
B. $2,667
Explanation:
Note that this is NOT an expected value question. The question asks for the most likely amount.
There are two possible bonuses, one of $6,000 with a 40% chance and another of $4,000 with a 60% chance. Since it has higher odds, the $4,000 bonus is the most likely and should be the one considered.
Therefore, his total revenue recognized over 6 months would be:
[tex]R= 6*2,000 +4,000 = 16,000[/tex]
For the first month:
[tex]R_{1} =\frac{16,000}{6}\\R_{1} = \$ 2,667[/tex]