Answer the following questions adequately.thanks

EacaInple 1.5.1. In a certain nonselect mortality table1 there is a uniform distribution of deaths between any two consecutive integer ages. Find formulae in terms of 30., 31 and 31 our {1"} 1.5mm {ii} #30:. Exalnple 1.7.2. Show that1 if I'L-iakehanfs law holds for all ages greater than or equal to er, there are positive mustants S and 5: inch that m, = SEEMl] for .T 2 er, 1: E 0 [1.7.4] 1.1 Calculate the following probabilities on the basis of English Life Table No. 12-Males. (i) 40 25; (ii) 60 10925, (iii) the probability that (30) survives for at least 10 years, (iv) the probability that (40) survives to age 65, (v) the probability that (50) dies within 10 years, (vi) the probability that (50) fails to reach age 70, (vii) the probability that (60) dies between ages 80 and 85, (viii) the probability that (60) dies within the first five years after retiring at age 65. In addition, express (i) and (ii) in words. 1.2 On the basis of E.L.T. No. 12 - Males, find the probability that a life aged 30 will (i) survive to age 40, (ii) die before reaching age 50, (iii ) die in his 50th year of age, i.e. between ages 49 and 50, (iv) die between his 40th birthday and his 50th birthday, (v ) die either between exact ages 35 and 45 or between exact ages 70 and 80