This is a question that needs a bit of common sense to get to the actual answer that is desired. Firstly there is one information given .The other information has to be found from common sense. ! single handshake requires 2 people. Now we can easily determine the number of people doing 66 handshakes. Then The number of people required for 1 hand shake = 2 Then The number of people required to do 66 handshakes = ( 2 * 66) people = 132 people Then it can be said that there were 132 people in the party. I hope the process of doing this problem is clear to you.
The mean will be calculates as follows; from the formula of z-score we shall have: z=(x-μ)/σ the z-score associated with 0.5% is 0 thus 0= (8-μ)/0.4=0 solving for x we get: μ=9