1. SAB investigators have discovered that the probability of death for ages 25 and above is given by the formula q(x) = [1 – 1/(x – 10)](100-x) where x = age. a) if 10,000 people are currently alive in SAB at age 25, how many would you expect to die before attaining age 30? (nearest whole number) b) at what exact age (2 decimal places) does the probability of death first exceed 0.5? Please answer part a and b by using excel and use appropriate functions in excel. For part b explain it by using linear interpolation separatel

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1. SAB investigators have discovered that the probability of death for ages 25 and above is given by the formula (100-x) q = [1 – 1/(x – 10)] where x = age. (x) a) if 10,000 people are currently alive in SAB at age 25, how many would you expect to die before attaining age 30? (nearest whole number) b) at what exact age (2 decimal places) does the probability of death first exceed 0.5? Please answer part a and b by using excel and use appropriate functions in excel. For part b explain it by using linear interpolation separately.

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