Answer all the questions below with explanations

Question 1

Calculate the probabilities of the following events using the service table in the Tables: (i) A member aged 40 exactly will die from service during the next year. (ii) A member aged 45 exactly will withdraw from service by age 50. (iii) A member aged 38 exactly will retire through ill health in the year ending on his 60th birthday. (iv) A member aged 42 exactly will retire in normal health on his 65th birthday.Using the service table in the Tables: (i) At what ages is normal retirement possible? (ii) What are the possible decrements for a 40-year old active member? (iii) How many new entrants do we expect at age 30