Please provide detailed step-by-step solution and derive the answer.

A local heath clinic sent iers to its clients to encourage everyone, but especially persons aged >= 60, to get a u shot in time for protection against an expected u epidemic. In a pilot follow'up study, 200 adult clients were randomly selected and asked whether they actually received a u shot. A client who received a u shot was coded Y = 1 and a client who did not receive a u shot was coded Y = O. In addition, data were collected on whether the client is at least 60 year old or not. when the client whose age is >= 60 is coded as X = 1 and those with age