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.
Given:
A sum of money is divided between A,B and C in the ratio 9:8:7.
Total sum is 480.
To find:
The part of money A get.
Solution:
Let A, B and C get 9x, 8x and 7x respectively.
Total sum is 480.


Divide both sides by 24.


Now,



Therefore, amount received by A is 180.
Suppose the line is y=mx+b
when x=3, y=15, so 15=3m+b
when x=-1, y=-13, so -13=-m+b
solve the system of these two equation, you get m=7, b=-6
so the linear equation is y=7x-6