There is a new vaccine called 'BSG'. It has no physical symptoms however those who have received the vaccine have increased in height by 5 centimeters. This symptom is strongly penetrant: it was observed that 99% of those vaccinated. Before the vaccine, roughly 16% of the population had an average height of 168 Centimeters. Health professionals estimate that 30% of the population has been vaccinated with 'BSG'.

A) In this scenario, the 'immunization' is getting the 'BSG' vaccine and the 'test' is having a 5-centimeter height increase. what is the sensitivity of the vaccine?

B) What is the specificity of the test?

C) What is the prevalence of the condition?

D) Using the average height, If someone is taller than 173 what is the probability they got the vaccine?

D) Using the average height, If someone is shorter than 173 what is the probability they got the vaccine?

Please solve clearly