The National Service Training Program is Malaysia’s national service program, which began in December 2003, for 18-year-old youths at risk. During one year, around 85,000 youths participated in the program, of which 51,000 were satisfied with it. Recently a researcher would like to study the life satisfaction and positive perceptions of the future among youths participating in the program. She randomly selects 105 individuals to participate in the research study. In the sample, the proportion of those who are satisfied will not be exactly the same as the population due to a random sample error. What is the probability that more than 55% of the sample is satisfied with the program?

Help the researcher to justify the students’ satisfaction.