Answer:
b) 2.00
Step-by-step explanation:
For each name, there are only two possible outcomes. Either it is authentic, or it is not. The probability of a name being authentic is independent of any other name. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:

She randomly selects five names from the list for validation.
This means that 
40% of the names on the list are non-authentic
This means that 
The expected (average) value of x is

The correct answer is given by option B.